Finding the Third Proportional to 24,685 and 38,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,685 : 38,233.50 = 38,233.50 : x
2. Step 2: Convert to fraction form
   24,685/38,233.50 = 38,233.50/x
3. Step 3: Cross multiply
   24,685x = 38,233.50 × 38,233.50
4. Step 4: Simplify right side
   24,685x = 1,461,800,522.25
5. Step 5: Solve for x
   x = 1,461,800,522.25/24,685
6. Step 6: Final answer
   x = 59,218.17