Finding the Third Proportional to 6,861 and 16,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,861 : 16,042.50 = 16,042.50 : x
2. Step 2: Convert to fraction form
   6,861/16,042.50 = 16,042.50/x
3. Step 3: Cross multiply
   6,861x = 16,042.50 × 16,042.50
4. Step 4: Simplify right side
   6,861x = 257,361,806.25
5. Step 5: Solve for x
   x = 257,361,806.25/6,861
6. Step 6: Final answer
   x = 37,510.83