Finding the Third Proportional to 7,691 and 10,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,691 : 10,098.50 = 10,098.50 : x
2. Step 2: Convert to fraction form
   7,691/10,098.50 = 10,098.50/x
3. Step 3: Cross multiply
   7,691x = 10,098.50 × 10,098.50
4. Step 4: Simplify right side
   7,691x = 101,979,702.25
5. Step 5: Solve for x
   x = 101,979,702.25/7,691
6. Step 6: Final answer
   x = 13,259.62