Finding the Third Proportional to 31,131 and 49,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,131 : 49,531.50 = 49,531.50 : x
2. Step 2: Convert to fraction form
   31,131/49,531.50 = 49,531.50/x
3. Step 3: Cross multiply
   31,131x = 49,531.50 × 49,531.50
4. Step 4: Simplify right side
   31,131x = 2,453,369,492.25
5. Step 5: Solve for x
   x = 2,453,369,492.25/31,131
6. Step 6: Final answer
   x = 78,807.92