Finding the Third Proportional to 2,430 and 5,645

Step by Step Solution

1. Step 1: Write the proportion equation
   2,430 : 5,645 = 5,645 : x
2. Step 2: Convert to fraction form
   2,430/5,645 = 5,645/x
3. Step 3: Cross multiply
   2,430x = 5,645 × 5,645
4. Step 4: Simplify right side
   2,430x = 31,866,025
5. Step 5: Solve for x
   x = 31,866,025/2,430
6. Step 6: Final answer
   x = 13,113.59