Finding the Third Proportional to 6,109.88 and 12,542.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.88 : 12,542.63 = 12,542.63 : x
2. Step 2: Convert to fraction form
   6,109.88/12,542.63 = 12,542.63/x
3. Step 3: Cross multiply
   6,109.88x = 12,542.63 × 12,542.63
4. Step 4: Simplify right side
   6,109.88x = 157,317,441.89
5. Step 5: Solve for x
   x = 157,317,441.89/6,109.88
6. Step 6: Final answer
   x = 25,748.06