Finding the Third Proportional to 2,512.90 and 5,801.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512.90 : 5,801.63 = 5,801.63 : x
2. Step 2: Convert to fraction form
   2,512.90/5,801.63 = 5,801.63/x
3. Step 3: Cross multiply
   2,512.90x = 5,801.63 × 5,801.63
4. Step 4: Simplify right side
   2,512.90x = 33,658,852.64
5. Step 5: Solve for x
   x = 33,658,852.64/2,512.90
6. Step 6: Final answer
   x = 13,394.43