Finding the Third Proportional to 31,702.50 and 68,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,702.50 : 68,908.50 = 68,908.50 : x
2. Step 2: Convert to fraction form
   31,702.50/68,908.50 = 68,908.50/x
3. Step 3: Cross multiply
   31,702.50x = 68,908.50 × 68,908.50
4. Step 4: Simplify right side
   31,702.50x = 4,748,381,372.25
5. Step 5: Solve for x
   x = 4,748,381,372.25/31,702.50
6. Step 6: Final answer
   x = 149,779.40