Finding the Third Proportional to 31,872 and 45,840

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 45,840 = 45,840 : x
2. Step 2: Convert to fraction form
   31,872/45,840 = 45,840/x
3. Step 3: Cross multiply
   31,872x = 45,840 × 45,840
4. Step 4: Simplify right side
   31,872x = 2,101,305,600
5. Step 5: Solve for x
   x = 2,101,305,600/31,872
6. Step 6: Final answer
   x = 65,929.52