Finding the Third Proportional to 31,781.50 and 43,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,781.50 : 43,114.50 = 43,114.50 : x
2. Step 2: Convert to fraction form
   31,781.50/43,114.50 = 43,114.50/x
3. Step 3: Cross multiply
   31,781.50x = 43,114.50 × 43,114.50
4. Step 4: Simplify right side
   31,781.50x = 1,858,860,110.25
5. Step 5: Solve for x
   x = 1,858,860,110.25/31,781.50
6. Step 6: Final answer
   x = 58,488.75