Finding the Third Proportional to 994.50 and 2,147.25

Step by Step Solution

1. Step 1: Write the proportion equation
   994.50 : 2,147.25 = 2,147.25 : x
2. Step 2: Convert to fraction form
   994.50/2,147.25 = 2,147.25/x
3. Step 3: Cross multiply
   994.50x = 2,147.25 × 2,147.25
4. Step 4: Simplify right side
   994.50x = 4,610,682.56
5. Step 5: Solve for x
   x = 4,610,682.56/994.50
6. Step 6: Final answer
   x = 4,636.18