Finding the Third Proportional to 974.81 and 2,145.38

Step by Step Solution

1. Step 1: Write the proportion equation
   974.81 : 2,145.38 = 2,145.38 : x
2. Step 2: Convert to fraction form
   974.81/2,145.38 = 2,145.38/x
3. Step 3: Cross multiply
   974.81x = 2,145.38 × 2,145.38
4. Step 4: Simplify right side
   974.81x = 4,602,633.89
5. Step 5: Solve for x
   x = 4,602,633.89/974.81
6. Step 6: Final answer
   x = 4,721.56