Finding the Third Proportional to 31,705.50 and 47,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,705.50 : 47,456.25 = 47,456.25 : x
2. Step 2: Convert to fraction form
   31,705.50/47,456.25 = 47,456.25/x
3. Step 3: Cross multiply
   31,705.50x = 47,456.25 × 47,456.25
4. Step 4: Simplify right side
   31,705.50x = 2,252,095,664.06
5. Step 5: Solve for x
   x = 2,252,095,664.06/31,705.50
6. Step 6: Final answer
   x = 71,031.70