Finding the Third Proportional to 6,898.50 and 10,562.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,898.50 : 10,562.06 = 10,562.06 : x
2. Step 2: Convert to fraction form
   6,898.50/10,562.06 = 10,562.06/x
3. Step 3: Cross multiply
   6,898.50x = 10,562.06 × 10,562.06
4. Step 4: Simplify right side
   6,898.50x = 111,557,164.25
5. Step 5: Solve for x
   x = 111,557,164.25/6,898.50
6. Step 6: Final answer
   x = 16,171.22