Finding the Third Proportional to 31,772.25 and 42,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,772.25 : 42,160.50 = 42,160.50 : x
2. Step 2: Convert to fraction form
   31,772.25/42,160.50 = 42,160.50/x
3. Step 3: Cross multiply
   31,772.25x = 42,160.50 × 42,160.50
4. Step 4: Simplify right side
   31,772.25x = 1,777,507,760.25
5. Step 5: Solve for x
   x = 1,777,507,760.25/31,772.25
6. Step 6: Final answer
   x = 55,945.29