Finding the Third Proportional to 72,096 and 96,438

Step by Step Solution

1. Step 1: Write the proportion equation
   72,096 : 96,438 = 96,438 : x
2. Step 2: Convert to fraction form
   72,096/96,438 = 96,438/x
3. Step 3: Cross multiply
   72,096x = 96,438 × 96,438
4. Step 4: Simplify right side
   72,096x = 9,300,287,844
5. Step 5: Solve for x
   x = 9,300,287,844/72,096
6. Step 6: Final answer
   x = 128,998.67