Finding the Third Proportional to 71,538.19 and 109,729.69

Step by Step Solution

1. Step 1: Write the proportion equation
   71,538.19 : 109,729.69 = 109,729.69 : x
2. Step 2: Convert to fraction form
   71,538.19/109,729.69 = 109,729.69/x
3. Step 3: Cross multiply
   71,538.19x = 109,729.69 × 109,729.69
4. Step 4: Simplify right side
   71,538.19x = 12,040,604,318.85
5. Step 5: Solve for x
   x = 12,040,604,318.85/71,538.19
6. Step 6: Final answer
   x = 168,310.17