Finding the Third Proportional to 32,712 and 38,472

Step by Step Solution

1. Step 1: Write the proportion equation
   32,712 : 38,472 = 38,472 : x
2. Step 2: Convert to fraction form
   32,712/38,472 = 38,472/x
3. Step 3: Cross multiply
   32,712x = 38,472 × 38,472
4. Step 4: Simplify right side
   32,712x = 1,480,094,784
5. Step 5: Solve for x
   x = 1,480,094,784/32,712
6. Step 6: Final answer
   x = 45,246.23