Finding the Third Proportional to 1,242.56 and 2,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,242.56 : 2,722.50 = 2,722.50 : x
2. Step 2: Convert to fraction form
   1,242.56/2,722.50 = 2,722.50/x
3. Step 3: Cross multiply
   1,242.56x = 2,722.50 × 2,722.50
4. Step 4: Simplify right side
   1,242.56x = 7,412,006.25
5. Step 5: Solve for x
   x = 7,412,006.25/1,242.56
6. Step 6: Final answer
   x = 5,965.10