Finding the Third Proportional to 7,102.50 and 10,649.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,102.50 : 10,649.25 = 10,649.25 : x
2. Step 2: Convert to fraction form
   7,102.50/10,649.25 = 10,649.25/x
3. Step 3: Cross multiply
   7,102.50x = 10,649.25 × 10,649.25
4. Step 4: Simplify right side
   7,102.50x = 113,406,525.56
5. Step 5: Solve for x
   x = 113,406,525.56/7,102.50
6. Step 6: Final answer
   x = 15,967.13