Finding the Third Proportional to 7,827.38 and 16,301.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.38 : 16,301.25 = 16,301.25 : x
2. Step 2: Convert to fraction form
   7,827.38/16,301.25 = 16,301.25/x
3. Step 3: Cross multiply
   7,827.38x = 16,301.25 × 16,301.25
4. Step 4: Simplify right side
   7,827.38x = 265,730,751.56
5. Step 5: Solve for x
   x = 265,730,751.56/7,827.38
6. Step 6: Final answer
   x = 33,948.90