Finding the Third Proportional to 31,241 and 47,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,241 : 47,635.50 = 47,635.50 : x
2. Step 2: Convert to fraction form
   31,241/47,635.50 = 47,635.50/x
3. Step 3: Cross multiply
   31,241x = 47,635.50 × 47,635.50
4. Step 4: Simplify right side
   31,241x = 2,269,140,860.25
5. Step 5: Solve for x
   x = 2,269,140,860.25/31,241
6. Step 6: Final answer
   x = 72,633.43