Finding the Third Proportional to 7,877.25 and 14,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,877.25 : 14,917.50 = 14,917.50 : x
2. Step 2: Convert to fraction form
   7,877.25/14,917.50 = 14,917.50/x
3. Step 3: Cross multiply
   7,877.25x = 14,917.50 × 14,917.50
4. Step 4: Simplify right side
   7,877.25x = 222,531,806.25
5. Step 5: Solve for x
   x = 222,531,806.25/7,877.25
6. Step 6: Final answer
   x = 28,249.94