Finding the Third Proportional to 1,026 and 1,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026 : 1,588.50 = 1,588.50 : x
2. Step 2: Convert to fraction form
   1,026/1,588.50 = 1,588.50/x
3. Step 3: Cross multiply
   1,026x = 1,588.50 × 1,588.50
4. Step 4: Simplify right side
   1,026x = 2,523,332.25
5. Step 5: Solve for x
   x = 2,523,332.25/1,026
6. Step 6: Final answer
   x = 2,459.39