Finding the Third Proportional to 31,897.69 and 68,670

Step by Step Solution

1. Step 1: Write the proportion equation
   31,897.69 : 68,670 = 68,670 : x
2. Step 2: Convert to fraction form
   31,897.69/68,670 = 68,670/x
3. Step 3: Cross multiply
   31,897.69x = 68,670 × 68,670
4. Step 4: Simplify right side
   31,897.69x = 4,715,568,900
5. Step 5: Solve for x
   x = 4,715,568,900/31,897.69
6. Step 6: Final answer
   x = 147,834.19