Finding the Third Proportional to 37,563 and 76,518

Step by Step Solution

1. Step 1: Write the proportion equation
   37,563 : 76,518 = 76,518 : x
2. Step 2: Convert to fraction form
   37,563/76,518 = 76,518/x
3. Step 3: Cross multiply
   37,563x = 76,518 × 76,518
4. Step 4: Simplify right side
   37,563x = 5,855,004,324
5. Step 5: Solve for x
   x = 5,855,004,324/37,563
6. Step 6: Final answer
   x = 155,871.58