Finding the Third Proportional to 2,656.50 and 5,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.50 : 5,767.50 = 5,767.50 : x
2. Step 2: Convert to fraction form
   2,656.50/5,767.50 = 5,767.50/x
3. Step 3: Cross multiply
   2,656.50x = 5,767.50 × 5,767.50
4. Step 4: Simplify right side
   2,656.50x = 33,264,056.25
5. Step 5: Solve for x
   x = 33,264,056.25/2,656.50
6. Step 6: Final answer
   x = 12,521.76