Finding the Third Proportional to 31,990.50 and 51,108.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,990.50 : 51,108.75 = 51,108.75 : x
2. Step 2: Convert to fraction form
   31,990.50/51,108.75 = 51,108.75/x
3. Step 3: Cross multiply
   31,990.50x = 51,108.75 × 51,108.75
4. Step 4: Simplify right side
   31,990.50x = 2,612,104,326.56
5. Step 5: Solve for x
   x = 2,612,104,326.56/31,990.50
6. Step 6: Final answer
   x = 81,652.50