Finding the Third Proportional to 6,127.50 and 9,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,127.50 : 9,145.50 = 9,145.50 : x
2. Step 2: Convert to fraction form
   6,127.50/9,145.50 = 9,145.50/x
3. Step 3: Cross multiply
   6,127.50x = 9,145.50 × 9,145.50
4. Step 4: Simplify right side
   6,127.50x = 83,640,170.25
5. Step 5: Solve for x
   x = 83,640,170.25/6,127.50
6. Step 6: Final answer
   x = 13,649.97