Finding the Third Proportional to 11,314.50 and 24,534

Step by Step Solution

1. Step 1: Write the proportion equation
   11,314.50 : 24,534 = 24,534 : x
2. Step 2: Convert to fraction form
   11,314.50/24,534 = 24,534/x
3. Step 3: Cross multiply
   11,314.50x = 24,534 × 24,534
4. Step 4: Simplify right side
   11,314.50x = 601,917,156
5. Step 5: Solve for x
   x = 601,917,156/11,314.50
6. Step 6: Final answer
   x = 53,198.74