Finding the Third Proportional to 890.50 and 2,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   890.50 : 2,066.50 = 2,066.50 : x
2. Step 2: Convert to fraction form
   890.50/2,066.50 = 2,066.50/x
3. Step 3: Cross multiply
   890.50x = 2,066.50 × 2,066.50
4. Step 4: Simplify right side
   890.50x = 4,270,422.25
5. Step 5: Solve for x
   x = 4,270,422.25/890.50
6. Step 6: Final answer
   x = 4,795.53