Finding the Third Proportional to 24,496 and 53,066

Step by Step Solution

1. Step 1: Write the proportion equation
   24,496 : 53,066 = 53,066 : x
2. Step 2: Convert to fraction form
   24,496/53,066 = 53,066/x
3. Step 3: Cross multiply
   24,496x = 53,066 × 53,066
4. Step 4: Simplify right side
   24,496x = 2,816,000,356
5. Step 5: Solve for x
   x = 2,816,000,356/24,496
6. Step 6: Final answer
   x = 114,957.56