Finding the Third Proportional to 24,165 and 53,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,165 : 53,233.50 = 53,233.50 : x
2. Step 2: Convert to fraction form
   24,165/53,233.50 = 53,233.50/x
3. Step 3: Cross multiply
   24,165x = 53,233.50 × 53,233.50
4. Step 4: Simplify right side
   24,165x = 2,833,805,522.25
5. Step 5: Solve for x
   x = 2,833,805,522.25/24,165
6. Step 6: Final answer
   x = 117,269.01