Finding the Third Proportional to 31,984.88 and 49,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984.88 : 49,315.50 = 49,315.50 : x
2. Step 2: Convert to fraction form
   31,984.88/49,315.50 = 49,315.50/x
3. Step 3: Cross multiply
   31,984.88x = 49,315.50 × 49,315.50
4. Step 4: Simplify right side
   31,984.88x = 2,432,018,540.25
5. Step 5: Solve for x
   x = 2,432,018,540.25/31,984.88
6. Step 6: Final answer
   x = 76,036.52