Finding the Third Proportional to 1,636.88 and 2,949.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.88 : 2,949.75 = 2,949.75 : x
2. Step 2: Convert to fraction form
   1,636.88/2,949.75 = 2,949.75/x
3. Step 3: Cross multiply
   1,636.88x = 2,949.75 × 2,949.75
4. Step 4: Simplify right side
   1,636.88x = 8,701,025.06
5. Step 5: Solve for x
   x = 8,701,025.06/1,636.88
6. Step 6: Final answer
   x = 5,315.63