Finding the Third Proportional to 31,118 and 47,832

Step by Step Solution

1. Step 1: Write the proportion equation
   31,118 : 47,832 = 47,832 : x
2. Step 2: Convert to fraction form
   31,118/47,832 = 47,832/x
3. Step 3: Cross multiply
   31,118x = 47,832 × 47,832
4. Step 4: Simplify right side
   31,118x = 2,287,900,224
5. Step 5: Solve for x
   x = 2,287,900,224/31,118
6. Step 6: Final answer
   x = 73,523.37