Finding the Third Proportional to 34,752 and 72,432

Step by Step Solution

1. Step 1: Write the proportion equation
   34,752 : 72,432 = 72,432 : x
2. Step 2: Convert to fraction form
   34,752/72,432 = 72,432/x
3. Step 3: Cross multiply
   34,752x = 72,432 × 72,432
4. Step 4: Simplify right side
   34,752x = 5,246,394,624
5. Step 5: Solve for x
   x = 5,246,394,624/34,752
6. Step 6: Final answer
   x = 150,966.70