Finding the Third Proportional to 4,661 and 10,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,661 : 10,142.50 = 10,142.50 : x
2. Step 2: Convert to fraction form
   4,661/10,142.50 = 10,142.50/x
3. Step 3: Cross multiply
   4,661x = 10,142.50 × 10,142.50
4. Step 4: Simplify right side
   4,661x = 102,870,306.25
5. Step 5: Solve for x
   x = 102,870,306.25/4,661
6. Step 6: Final answer
   x = 22,070.44