Finding the Third Proportional to 38,753 and 58,414

Step by Step Solution

1. Step 1: Write the proportion equation
   38,753 : 58,414 = 58,414 : x
2. Step 2: Convert to fraction form
   38,753/58,414 = 58,414/x
3. Step 3: Cross multiply
   38,753x = 58,414 × 58,414
4. Step 4: Simplify right side
   38,753x = 3,412,195,396
5. Step 5: Solve for x
   x = 3,412,195,396/38,753
6. Step 6: Final answer
   x = 88,049.84