Finding the Third Proportional to 24,182.25 and 53,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,182.25 : 53,269.50 = 53,269.50 : x
2. Step 2: Convert to fraction form
   24,182.25/53,269.50 = 53,269.50/x
3. Step 3: Cross multiply
   24,182.25x = 53,269.50 × 53,269.50
4. Step 4: Simplify right side
   24,182.25x = 2,837,639,630.25
5. Step 5: Solve for x
   x = 2,837,639,630.25/24,182.25
6. Step 6: Final answer
   x = 117,343.90