Finding the Third Proportional to 7,486 and 10,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,486 : 10,899.50 = 10,899.50 : x
2. Step 2: Convert to fraction form
   7,486/10,899.50 = 10,899.50/x
3. Step 3: Cross multiply
   7,486x = 10,899.50 × 10,899.50
4. Step 4: Simplify right side
   7,486x = 118,799,100.25
5. Step 5: Solve for x
   x = 118,799,100.25/7,486
6. Step 6: Final answer
   x = 15,869.50