Finding the Third Proportional to 7,642 and 10,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642 : 10,310.50 = 10,310.50 : x
2. Step 2: Convert to fraction form
   7,642/10,310.50 = 10,310.50/x
3. Step 3: Cross multiply
   7,642x = 10,310.50 × 10,310.50
4. Step 4: Simplify right side
   7,642x = 106,306,410.25
5. Step 5: Solve for x
   x = 106,306,410.25/7,642
6. Step 6: Final answer
   x = 13,910.81