Finding the Third Proportional to 12,597.75 and 27,698.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,597.75 : 27,698.63 = 27,698.63 : x
2. Step 2: Convert to fraction form
   12,597.75/27,698.63 = 27,698.63/x
3. Step 3: Cross multiply
   12,597.75x = 27,698.63 × 27,698.63
4. Step 4: Simplify right side
   12,597.75x = 767,213,826.89
5. Step 5: Solve for x
   x = 767,213,826.89/12,597.75
6. Step 6: Final answer
   x = 60,900.86