Finding the Third Proportional to 1,522.13 and 2,007.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.13 : 2,007.56 = 2,007.56 : x
2. Step 2: Convert to fraction form
   1,522.13/2,007.56 = 2,007.56/x
3. Step 3: Cross multiply
   1,522.13x = 2,007.56 × 2,007.56
4. Step 4: Simplify right side
   1,522.13x = 4,030,307.19
5. Step 5: Solve for x
   x = 4,030,307.19/1,522.13
6. Step 6: Final answer
   x = 2,647.82