Finding the Third Proportional to 975.38 and 1,492.59

Step by Step Solution

1. Step 1: Write the proportion equation
   975.38 : 1,492.59 = 1,492.59 : x
2. Step 2: Convert to fraction form
   975.38/1,492.59 = 1,492.59/x
3. Step 3: Cross multiply
   975.38x = 1,492.59 × 1,492.59
4. Step 4: Simplify right side
   975.38x = 2,227,836.10
5. Step 5: Solve for x
   x = 2,227,836.10/975.38
6. Step 6: Final answer
   x = 2,284.08