Finding the Third Proportional to 7,625.81 and 17,654.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,625.81 : 17,654.63 = 17,654.63 : x
2. Step 2: Convert to fraction form
   7,625.81/17,654.63 = 17,654.63/x
3. Step 3: Cross multiply
   7,625.81x = 17,654.63 × 17,654.63
4. Step 4: Simplify right side
   7,625.81x = 311,685,783.89
5. Step 5: Solve for x
   x = 311,685,783.89/7,625.81
6. Step 6: Final answer
   x = 40,872.47