Finding the Third Proportional to 49,290 and 76,463

Step by Step Solution

1. Step 1: Write the proportion equation
   49,290 : 76,463 = 76,463 : x
2. Step 2: Convert to fraction form
   49,290/76,463 = 76,463/x
3. Step 3: Cross multiply
   49,290x = 76,463 × 76,463
4. Step 4: Simplify right side
   49,290x = 5,846,590,369
5. Step 5: Solve for x
   x = 5,846,590,369/49,290
6. Step 6: Final answer
   x = 118,616.16