Finding the Third Proportional to 31,110 and 47,820

Step by Step Solution

1. Step 1: Write the proportion equation
   31,110 : 47,820 = 47,820 : x
2. Step 2: Convert to fraction form
   31,110/47,820 = 47,820/x
3. Step 3: Cross multiply
   31,110x = 47,820 × 47,820
4. Step 4: Simplify right side
   31,110x = 2,286,752,400
5. Step 5: Solve for x
   x = 2,286,752,400/31,110
6. Step 6: Final answer
   x = 73,505.38