Finding the Third Proportional to 59,688 and 83,670

Step by Step Solution

1. Step 1: Write the proportion equation
   59,688 : 83,670 = 83,670 : x
2. Step 2: Convert to fraction form
   59,688/83,670 = 83,670/x
3. Step 3: Cross multiply
   59,688x = 83,670 × 83,670
4. Step 4: Simplify right side
   59,688x = 7,000,668,900
5. Step 5: Solve for x
   x = 7,000,668,900/59,688
6. Step 6: Final answer
   x = 117,287.71