Finding the Third Proportional to 6,126.50 and 13,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,126.50 : 13,290.50 = 13,290.50 : x
2. Step 2: Convert to fraction form
   6,126.50/13,290.50 = 13,290.50/x
3. Step 3: Cross multiply
   6,126.50x = 13,290.50 × 13,290.50
4. Step 4: Simplify right side
   6,126.50x = 176,637,390.25
5. Step 5: Solve for x
   x = 176,637,390.25/6,126.50
6. Step 6: Final answer
   x = 28,831.70