Finding the Third Proportional to 1,492.31 and 2,337.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.31 : 2,337.47 = 2,337.47 : x
2. Step 2: Convert to fraction form
   1,492.31/2,337.47 = 2,337.47/x
3. Step 3: Cross multiply
   1,492.31x = 2,337.47 × 2,337.47
4. Step 4: Simplify right side
   1,492.31x = 5,463,760.16
5. Step 5: Solve for x
   x = 5,463,760.16/1,492.31
6. Step 6: Final answer
   x = 3,661.27