Finding the Third Proportional to 31,113 and 47,850

Step by Step Solution

1. Step 1: Write the proportion equation
   31,113 : 47,850 = 47,850 : x
2. Step 2: Convert to fraction form
   31,113/47,850 = 47,850/x
3. Step 3: Cross multiply
   31,113x = 47,850 × 47,850
4. Step 4: Simplify right side
   31,113x = 2,289,622,500
5. Step 5: Solve for x
   x = 2,289,622,500/31,113
6. Step 6: Final answer
   x = 73,590.54