Finding the Third Proportional to 6,706.50 and 10,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,706.50 : 10,443.75 = 10,443.75 : x
2. Step 2: Convert to fraction form
   6,706.50/10,443.75 = 10,443.75/x
3. Step 3: Cross multiply
   6,706.50x = 10,443.75 × 10,443.75
4. Step 4: Simplify right side
   6,706.50x = 109,071,914.06
5. Step 5: Solve for x
   x = 109,071,914.06/6,706.50
6. Step 6: Final answer
   x = 16,263.61