Finding the Third Proportional to 3,746,783,732,939 and 5,055,291,002,442

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746,783,732,939 : 5,055,291,002,442 = 5,055,291,002,442 : x
2. Step 2: Convert to fraction form
   3,746,783,732,939/5,055,291,002,442 = 5,055,291,002,442/x
3. Step 3: Cross multiply
   3,746,783,732,939x = 5,055,291,002,442 × 5,055,291,002,442
4. Step 4: Simplify right side
   3,746,783,732,939x = 25,555,967,119,371,041,136,181,248
5. Step 5: Solve for x
   x = 25,555,967,119,371,041,136,181,248/3,746,783,732,939
6. Step 6: Final answer
   x = 6,820,774,547,167.36