Finding the Third Proportional to 7,866 and 18,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,866 : 18,139.50 = 18,139.50 : x
2. Step 2: Convert to fraction form
   7,866/18,139.50 = 18,139.50/x
3. Step 3: Cross multiply
   7,866x = 18,139.50 × 18,139.50
4. Step 4: Simplify right side
   7,866x = 329,041,460.25
5. Step 5: Solve for x
   x = 329,041,460.25/7,866
6. Step 6: Final answer
   x = 41,830.85