Finding the Third Proportional to 38,900 and 59,762

Step by Step Solution

1. Step 1: Write the proportion equation
   38,900 : 59,762 = 59,762 : x
2. Step 2: Convert to fraction form
   38,900/59,762 = 59,762/x
3. Step 3: Cross multiply
   38,900x = 59,762 × 59,762
4. Step 4: Simplify right side
   38,900x = 3,571,496,644
5. Step 5: Solve for x
   x = 3,571,496,644/38,900
6. Step 6: Final answer
   x = 91,812.25