Finding the Third Proportional to 20,032.88 and 31,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,032.88 : 31,142.25 = 31,142.25 : x
2. Step 2: Convert to fraction form
   20,032.88/31,142.25 = 31,142.25/x
3. Step 3: Cross multiply
   20,032.88x = 31,142.25 × 31,142.25
4. Step 4: Simplify right side
   20,032.88x = 969,839,735.06
5. Step 5: Solve for x
   x = 969,839,735.06/20,032.88
6. Step 6: Final answer
   x = 48,412.41