Finding the Third Proportional to 1,492.50 and 2,322.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.50 : 2,322.75 = 2,322.75 : x
2. Step 2: Convert to fraction form
   1,492.50/2,322.75 = 2,322.75/x
3. Step 3: Cross multiply
   1,492.50x = 2,322.75 × 2,322.75
4. Step 4: Simplify right side
   1,492.50x = 5,395,167.56
5. Step 5: Solve for x
   x = 5,395,167.56/1,492.50
6. Step 6: Final answer
   x = 3,614.85