Finding the Third Proportional to 947.81 and 1,462.31

Step by Step Solution

1. Step 1: Write the proportion equation
   947.81 : 1,462.31 = 1,462.31 : x
2. Step 2: Convert to fraction form
   947.81/1,462.31 = 1,462.31/x
3. Step 3: Cross multiply
   947.81x = 1,462.31 × 1,462.31
4. Step 4: Simplify right side
   947.81x = 2,138,357.85
5. Step 5: Solve for x
   x = 2,138,357.85/947.81
6. Step 6: Final answer
   x = 2,256.10