Finding the Third Proportional to 24,470 and 53,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,470 : 53,313.50 = 53,313.50 : x
2. Step 2: Convert to fraction form
   24,470/53,313.50 = 53,313.50/x
3. Step 3: Cross multiply
   24,470x = 53,313.50 × 53,313.50
4. Step 4: Simplify right side
   24,470x = 2,842,329,282.25
5. Step 5: Solve for x
   x = 2,842,329,282.25/24,470
6. Step 6: Final answer
   x = 116,155.67