Finding the Third Proportional to 6,877.50 and 13,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,877.50 : 13,039.50 = 13,039.50 : x
2. Step 2: Convert to fraction form
   6,877.50/13,039.50 = 13,039.50/x
3. Step 3: Cross multiply
   6,877.50x = 13,039.50 × 13,039.50
4. Step 4: Simplify right side
   6,877.50x = 170,028,560.25
5. Step 5: Solve for x
   x = 170,028,560.25/6,877.50
6. Step 6: Final answer
   x = 24,722.44