Finding the Third Proportional to 71,820 and 96,012

Step by Step Solution

1. Step 1: Write the proportion equation
   71,820 : 96,012 = 96,012 : x
2. Step 2: Convert to fraction form
   71,820/96,012 = 96,012/x
3. Step 3: Cross multiply
   71,820x = 96,012 × 96,012
4. Step 4: Simplify right side
   71,820x = 9,218,304,144
5. Step 5: Solve for x
   x = 9,218,304,144/71,820
6. Step 6: Final answer
   x = 128,352.88