Finding the Third Proportional to 7,699.50 and 18,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,699.50 : 18,164.25 = 18,164.25 : x
2. Step 2: Convert to fraction form
   7,699.50/18,164.25 = 18,164.25/x
3. Step 3: Cross multiply
   7,699.50x = 18,164.25 × 18,164.25
4. Step 4: Simplify right side
   7,699.50x = 329,939,978.06
5. Step 5: Solve for x
   x = 329,939,978.06/7,699.50
6. Step 6: Final answer
   x = 42,852.13