Finding the Third Proportional to 1,223.86 and 2,593.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.86 : 2,593.27 = 2,593.27 : x
2. Step 2: Convert to fraction form
   1,223.86/2,593.27 = 2,593.27/x
3. Step 3: Cross multiply
   1,223.86x = 2,593.27 × 2,593.27
4. Step 4: Simplify right side
   1,223.86x = 6,725,026.60
5. Step 5: Solve for x
   x = 6,725,026.60/1,223.86
6. Step 6: Final answer
   x = 5,494.93