Finding the Third Proportional to 6,742.50 and 10,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,742.50 : 10,348.50 = 10,348.50 : x
2. Step 2: Convert to fraction form
   6,742.50/10,348.50 = 10,348.50/x
3. Step 3: Cross multiply
   6,742.50x = 10,348.50 × 10,348.50
4. Step 4: Simplify right side
   6,742.50x = 107,091,452.25
5. Step 5: Solve for x
   x = 107,091,452.25/6,742.50
6. Step 6: Final answer
   x = 15,883.05