Finding the Third Proportional to 1,614.62 and 2,191.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,614.62 : 2,191.27 = 2,191.27 : x
2. Step 2: Convert to fraction form
   1,614.62/2,191.27 = 2,191.27/x
3. Step 3: Cross multiply
   1,614.62x = 2,191.27 × 2,191.27
4. Step 4: Simplify right side
   1,614.62x = 4,801,670.72
5. Step 5: Solve for x
   x = 4,801,670.72/1,614.62
6. Step 6: Final answer
   x = 2,973.87