Finding the Third Proportional to 974.50 and 2,146

Step by Step Solution

1. Step 1: Write the proportion equation
   974.50 : 2,146 = 2,146 : x
2. Step 2: Convert to fraction form
   974.50/2,146 = 2,146/x
3. Step 3: Cross multiply
   974.50x = 2,146 × 2,146
4. Step 4: Simplify right side
   974.50x = 4,605,316
5. Step 5: Solve for x
   x = 4,605,316/974.50
6. Step 6: Final answer
   x = 4,725.82