Finding the Third Proportional to 31,787.44 and 49,142.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31,787.44 : 49,142.53 = 49,142.53 : x
2. Step 2: Convert to fraction form
   31,787.44/49,142.53 = 49,142.53/x
3. Step 3: Cross multiply
   31,787.44x = 49,142.53 × 49,142.53
4. Step 4: Simplify right side
   31,787.44x = 2,414,988,377.66
5. Step 5: Solve for x
   x = 2,414,988,377.66/31,787.44
6. Step 6: Final answer
   x = 75,973.04