Finding the Third Proportional to 31,463 and 47,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,463 : 47,597.50 = 47,597.50 : x
2. Step 2: Convert to fraction form
   31,463/47,597.50 = 47,597.50/x
3. Step 3: Cross multiply
   31,463x = 47,597.50 × 47,597.50
4. Step 4: Simplify right side
   31,463x = 2,265,522,006.25
5. Step 5: Solve for x
   x = 2,265,522,006.25/31,463
6. Step 6: Final answer
   x = 72,005.91