Finding the Third Proportional to 10,770.75 and 16,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,770.75 : 16,807.50 = 16,807.50 : x
2. Step 2: Convert to fraction form
   10,770.75/16,807.50 = 16,807.50/x
3. Step 3: Cross multiply
   10,770.75x = 16,807.50 × 16,807.50
4. Step 4: Simplify right side
   10,770.75x = 282,492,056.25
5. Step 5: Solve for x
   x = 282,492,056.25/10,770.75
6. Step 6: Final answer
   x = 26,227.71