Finding the Third Proportional to 38,332.69 and 89,538.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,332.69 : 89,538.38 = 89,538.38 : x
2. Step 2: Convert to fraction form
   38,332.69/89,538.38 = 89,538.38/x
3. Step 3: Cross multiply
   38,332.69x = 89,538.38 × 89,538.38
4. Step 4: Simplify right side
   38,332.69x = 8,017,120,597.64
5. Step 5: Solve for x
   x = 8,017,120,597.64/38,332.69
6. Step 6: Final answer
   x = 209,145.80