Finding the Third Proportional to 7,042.50 and 9,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,042.50 : 9,846.50 = 9,846.50 : x
2. Step 2: Convert to fraction form
   7,042.50/9,846.50 = 9,846.50/x
3. Step 3: Cross multiply
   7,042.50x = 9,846.50 × 9,846.50
4. Step 4: Simplify right side
   7,042.50x = 96,953,562.25
5. Step 5: Solve for x
   x = 96,953,562.25/7,042.50
6. Step 6: Final answer
   x = 13,766.92