Finding the Third Proportional to 1,492 and 2,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492 : 2,326.50 = 2,326.50 : x
2. Step 2: Convert to fraction form
   1,492/2,326.50 = 2,326.50/x
3. Step 3: Cross multiply
   1,492x = 2,326.50 × 2,326.50
4. Step 4: Simplify right side
   1,492x = 5,412,602.25
5. Step 5: Solve for x
   x = 5,412,602.25/1,492
6. Step 6: Final answer
   x = 3,627.75