Finding the Third Proportional to 1,492.88 and 2,026.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.88 : 2,026.69 = 2,026.69 : x
2. Step 2: Convert to fraction form
   1,492.88/2,026.69 = 2,026.69/x
3. Step 3: Cross multiply
   1,492.88x = 2,026.69 × 2,026.69
4. Step 4: Simplify right side
   1,492.88x = 4,107,462.22
5. Step 5: Solve for x
   x = 4,107,462.22/1,492.88
6. Step 6: Final answer
   x = 2,751.38