Finding the Third Proportional to 622.69 and 947.53

Step by Step Solution

1. Step 1: Write the proportion equation
   622.69 : 947.53 = 947.53 : x
2. Step 2: Convert to fraction form
   622.69/947.53 = 947.53/x
3. Step 3: Cross multiply
   622.69x = 947.53 × 947.53
4. Step 4: Simplify right side
   622.69x = 897,815.47
5. Step 5: Solve for x
   x = 897,815.47/622.69
6. Step 6: Final answer
   x = 1,441.84