Finding the Third Proportional to 1,261.50 and 2,722.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,261.50 : 2,722.88 = 2,722.88 : x
2. Step 2: Convert to fraction form
   1,261.50/2,722.88 = 2,722.88/x
3. Step 3: Cross multiply
   1,261.50x = 2,722.88 × 2,722.88
4. Step 4: Simplify right side
   1,261.50x = 7,414,048.27
5. Step 5: Solve for x
   x = 7,414,048.27/1,261.50
6. Step 6: Final answer
   x = 5,877.17