Finding the Third Proportional to 947.25 and 1,415.25

Step by Step Solution

1. Step 1: Write the proportion equation
   947.25 : 1,415.25 = 1,415.25 : x
2. Step 2: Convert to fraction form
   947.25/1,415.25 = 1,415.25/x
3. Step 3: Cross multiply
   947.25x = 1,415.25 × 1,415.25
4. Step 4: Simplify right side
   947.25x = 2,002,932.56
5. Step 5: Solve for x
   x = 2,002,932.56/947.25
6. Step 6: Final answer
   x = 2,114.47