Finding the Third Proportional to 7,827.75 and 16,302.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.75 : 16,302.38 = 16,302.38 : x
2. Step 2: Convert to fraction form
   7,827.75/16,302.38 = 16,302.38/x
3. Step 3: Cross multiply
   7,827.75x = 16,302.38 × 16,302.38
4. Step 4: Simplify right side
   7,827.75x = 265,767,430.64
5. Step 5: Solve for x
   x = 265,767,430.64/7,827.75
6. Step 6: Final answer
   x = 33,951.96