Finding the Third Proportional to 38,332 and 59,830

Step by Step Solution

1. Step 1: Write the proportion equation
   38,332 : 59,830 = 59,830 : x
2. Step 2: Convert to fraction form
   38,332/59,830 = 59,830/x
3. Step 3: Cross multiply
   38,332x = 59,830 × 59,830
4. Step 4: Simplify right side
   38,332x = 3,579,628,900
5. Step 5: Solve for x
   x = 3,579,628,900/38,332
6. Step 6: Final answer
   x = 93,384.87