Finding the Third Proportional to 1,427.63 and 2,593.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.63 : 2,593.27 = 2,593.27 : x
2. Step 2: Convert to fraction form
   1,427.63/2,593.27 = 2,593.27/x
3. Step 3: Cross multiply
   1,427.63x = 2,593.27 × 2,593.27
4. Step 4: Simplify right side
   1,427.63x = 6,725,026.60
5. Step 5: Solve for x
   x = 6,725,026.60/1,427.63
6. Step 6: Final answer
   x = 4,710.64