Finding the Third Proportional to 1,628.86 and 2,513.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,628.86 : 2,513.53 = 2,513.53 : x
2. Step 2: Convert to fraction form
   1,628.86/2,513.53 = 2,513.53/x
3. Step 3: Cross multiply
   1,628.86x = 2,513.53 × 2,513.53
4. Step 4: Simplify right side
   1,628.86x = 6,317,839.34
5. Step 5: Solve for x
   x = 6,317,839.34/1,628.86
6. Step 6: Final answer
   x = 3,878.69