Finding the Third Proportional to 31,443 and 47,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,443 : 47,569.50 = 47,569.50 : x
2. Step 2: Convert to fraction form
   31,443/47,569.50 = 47,569.50/x
3. Step 3: Cross multiply
   31,443x = 47,569.50 × 47,569.50
4. Step 4: Simplify right side
   31,443x = 2,262,857,330.25
5. Step 5: Solve for x
   x = 2,262,857,330.25/31,443
6. Step 6: Final answer
   x = 71,966.97