Finding the Third Proportional to 24,142.50 and 53,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,142.50 : 53,196.75 = 53,196.75 : x
2. Step 2: Convert to fraction form
   24,142.50/53,196.75 = 53,196.75/x
3. Step 3: Cross multiply
   24,142.50x = 53,196.75 × 53,196.75
4. Step 4: Simplify right side
   24,142.50x = 2,829,894,210.56
5. Step 5: Solve for x
   x = 2,829,894,210.56/24,142.50
6. Step 6: Final answer
   x = 117,216.29