Finding the Third Proportional to 947.25 and 2,066.63

Step by Step Solution

1. Step 1: Write the proportion equation
   947.25 : 2,066.63 = 2,066.63 : x
2. Step 2: Convert to fraction form
   947.25/2,066.63 = 2,066.63/x
3. Step 3: Cross multiply
   947.25x = 2,066.63 × 2,066.63
4. Step 4: Simplify right side
   947.25x = 4,270,938.89
5. Step 5: Solve for x
   x = 4,270,938.89/947.25
6. Step 6: Final answer
   x = 4,508.78