Finding the Third Proportional to 1,002.52 and 2,415.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.52 : 2,415.14 = 2,415.14 : x
2. Step 2: Convert to fraction form
   1,002.52/2,415.14 = 2,415.14/x
3. Step 3: Cross multiply
   1,002.52x = 2,415.14 × 2,415.14
4. Step 4: Simplify right side
   1,002.52x = 5,832,904.24
5. Step 5: Solve for x
   x = 5,832,904.24/1,002.52
6. Step 6: Final answer
   x = 5,818.27