Finding the Third Proportional to 17,705.25 and 25,646.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,705.25 : 25,646.63 = 25,646.63 : x
2. Step 2: Convert to fraction form
   17,705.25/25,646.63 = 25,646.63/x
3. Step 3: Cross multiply
   17,705.25x = 25,646.63 × 25,646.63
4. Step 4: Simplify right side
   17,705.25x = 657,749,373.89
5. Step 5: Solve for x
   x = 657,749,373.89/17,705.25
6. Step 6: Final answer
   x = 37,149.96