Finding the Third Proportional to 7,705.50 and 17,979

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.50 : 17,979 = 17,979 : x
2. Step 2: Convert to fraction form
   7,705.50/17,979 = 17,979/x
3. Step 3: Cross multiply
   7,705.50x = 17,979 × 17,979
4. Step 4: Simplify right side
   7,705.50x = 323,244,441
5. Step 5: Solve for x
   x = 323,244,441/7,705.50
6. Step 6: Final answer
   x = 41,949.83