Finding the Third Proportional to 974.81 and 2,086.88

Step by Step Solution

1. Step 1: Write the proportion equation
   974.81 : 2,086.88 = 2,086.88 : x
2. Step 2: Convert to fraction form
   974.81/2,086.88 = 2,086.88/x
3. Step 3: Cross multiply
   974.81x = 2,086.88 × 2,086.88
4. Step 4: Simplify right side
   974.81x = 4,355,047.27
5. Step 5: Solve for x
   x = 4,355,047.27/974.81
6. Step 6: Final answer
   x = 4,467.57