Finding the Third Proportional to 7,942.50 and 18,326.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,942.50 : 18,326.25 = 18,326.25 : x
2. Step 2: Convert to fraction form
   7,942.50/18,326.25 = 18,326.25/x
3. Step 3: Cross multiply
   7,942.50x = 18,326.25 × 18,326.25
4. Step 4: Simplify right side
   7,942.50x = 335,851,439.06
5. Step 5: Solve for x
   x = 335,851,439.06/7,942.50
6. Step 6: Final answer
   x = 42,285.36