Finding the Third Proportional to 31,594 and 47,520

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594 : 47,520 = 47,520 : x
2. Step 2: Convert to fraction form
   31,594/47,520 = 47,520/x
3. Step 3: Cross multiply
   31,594x = 47,520 × 47,520
4. Step 4: Simplify right side
   31,594x = 2,258,150,400
5. Step 5: Solve for x
   x = 2,258,150,400/31,594
6. Step 6: Final answer
   x = 71,474.03