Finding the Third Proportional to 10,162.50 and 11,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.50 : 11,638.50 = 11,638.50 : x
2. Step 2: Convert to fraction form
   10,162.50/11,638.50 = 11,638.50/x
3. Step 3: Cross multiply
   10,162.50x = 11,638.50 × 11,638.50
4. Step 4: Simplify right side
   10,162.50x = 135,454,682.25
5. Step 5: Solve for x
   x = 135,454,682.25/10,162.50
6. Step 6: Final answer
   x = 13,328.87