Finding the Third Proportional to 1,006.88 and 1,621.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.88 : 1,621.69 = 1,621.69 : x
2. Step 2: Convert to fraction form
   1,006.88/1,621.69 = 1,621.69/x
3. Step 3: Cross multiply
   1,006.88x = 1,621.69 × 1,621.69
4. Step 4: Simplify right side
   1,006.88x = 2,629,870.35
5. Step 5: Solve for x
   x = 2,629,870.35/1,006.88
6. Step 6: Final answer
   x = 2,611.91