Finding the Third Proportional to 38,397.80 and 89,689.78

Step by Step Solution

1. Step 1: Write the proportion equation
   38,397.80 : 89,689.78 = 89,689.78 : x
2. Step 2: Convert to fraction form
   38,397.80/89,689.78 = 89,689.78/x
3. Step 3: Cross multiply
   38,397.80x = 89,689.78 × 89,689.78
4. Step 4: Simplify right side
   38,397.80x = 8,044,256,860.67
5. Step 5: Solve for x
   x = 8,044,256,860.67/38,397.80
6. Step 6: Final answer
   x = 209,497.88