Finding the Third Proportional to 7,633.50 and 10,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,633.50 : 10,498.50 = 10,498.50 : x
2. Step 2: Convert to fraction form
   7,633.50/10,498.50 = 10,498.50/x
3. Step 3: Cross multiply
   7,633.50x = 10,498.50 × 10,498.50
4. Step 4: Simplify right side
   7,633.50x = 110,218,502.25
5. Step 5: Solve for x
   x = 110,218,502.25/7,633.50
6. Step 6: Final answer
   x = 14,438.79