Finding the Third Proportional to 6,816.75 and 14,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816.75 : 14,947.50 = 14,947.50 : x
2. Step 2: Convert to fraction form
   6,816.75/14,947.50 = 14,947.50/x
3. Step 3: Cross multiply
   6,816.75x = 14,947.50 × 14,947.50
4. Step 4: Simplify right side
   6,816.75x = 223,427,756.25
5. Step 5: Solve for x
   x = 223,427,756.25/6,816.75
6. Step 6: Final answer
   x = 32,776.29