Finding the Third Proportional to 4,139.63 and 8,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,139.63 : 8,461.50 = 8,461.50 : x
2. Step 2: Convert to fraction form
   4,139.63/8,461.50 = 8,461.50/x
3. Step 3: Cross multiply
   4,139.63x = 8,461.50 × 8,461.50
4. Step 4: Simplify right side
   4,139.63x = 71,596,982.25
5. Step 5: Solve for x
   x = 71,596,982.25/4,139.63
6. Step 6: Final answer
   x = 17,295.52