Finding the Third Proportional to 6,898 and 9,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,898 : 9,521.50 = 9,521.50 : x
2. Step 2: Convert to fraction form
   6,898/9,521.50 = 9,521.50/x
3. Step 3: Cross multiply
   6,898x = 9,521.50 × 9,521.50
4. Step 4: Simplify right side
   6,898x = 90,658,962.25
5. Step 5: Solve for x
   x = 90,658,962.25/6,898
6. Step 6: Final answer
   x = 13,142.79