Finding the Third Proportional to 31,702.50 and 49,060.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,702.50 : 49,060.50 = 49,060.50 : x
2. Step 2: Convert to fraction form
   31,702.50/49,060.50 = 49,060.50/x
3. Step 3: Cross multiply
   31,702.50x = 49,060.50 × 49,060.50
4. Step 4: Simplify right side
   31,702.50x = 2,406,932,660.25
5. Step 5: Solve for x
   x = 2,406,932,660.25/31,702.50
6. Step 6: Final answer
   x = 75,922.49