Finding the Third Proportional to 11,734.88 and 25,646.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,734.88 : 25,646.63 = 25,646.63 : x
2. Step 2: Convert to fraction form
   11,734.88/25,646.63 = 25,646.63/x
3. Step 3: Cross multiply
   11,734.88x = 25,646.63 × 25,646.63
4. Step 4: Simplify right side
   11,734.88x = 657,749,373.89
5. Step 5: Solve for x
   x = 657,749,373.89/11,734.88
6. Step 6: Final answer
   x = 56,050.82