Finding the Third Proportional to 35,830.50 and 83,670

Step by Step Solution

1. Step 1: Write the proportion equation
   35,830.50 : 83,670 = 83,670 : x
2. Step 2: Convert to fraction form
   35,830.50/83,670 = 83,670/x
3. Step 3: Cross multiply
   35,830.50x = 83,670 × 83,670
4. Step 4: Simplify right side
   35,830.50x = 7,000,668,900
5. Step 5: Solve for x
   x = 7,000,668,900/35,830.50
6. Step 6: Final answer
   x = 195,382.95