Finding the Third Proportional to 38,344 and 89,632

Step by Step Solution

1. Step 1: Write the proportion equation
   38,344 : 89,632 = 89,632 : x
2. Step 2: Convert to fraction form
   38,344/89,632 = 89,632/x
3. Step 3: Cross multiply
   38,344x = 89,632 × 89,632
4. Step 4: Simplify right side
   38,344x = 8,033,895,424
5. Step 5: Solve for x
   x = 8,033,895,424/38,344
6. Step 6: Final answer
   x = 209,521.58