Finding the Third Proportional to 31,123 and 47,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,123 : 47,404.50 = 47,404.50 : x
2. Step 2: Convert to fraction form
   31,123/47,404.50 = 47,404.50/x
3. Step 3: Cross multiply
   31,123x = 47,404.50 × 47,404.50
4. Step 4: Simplify right side
   31,123x = 2,247,186,620.25
5. Step 5: Solve for x
   x = 2,247,186,620.25/31,123
6. Step 6: Final answer
   x = 72,203.41