Finding the Third Proportional to 13,857.33 and 31,414.08

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.33 : 31,414.08 = 31,414.08 : x
2. Step 2: Convert to fraction form
   13,857.33/31,414.08 = 31,414.08/x
3. Step 3: Cross multiply
   13,857.33x = 31,414.08 × 31,414.08
4. Step 4: Simplify right side
   13,857.33x = 986,844,304.44
5. Step 5: Solve for x
   x = 986,844,304.44/13,857.33
6. Step 6: Final answer
   x = 71,214.62