Finding the Third Proportional to 3,827.25 and 5,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.25 : 5,926.50 = 5,926.50 : x
2. Step 2: Convert to fraction form
   3,827.25/5,926.50 = 5,926.50/x
3. Step 3: Cross multiply
   3,827.25x = 5,926.50 × 5,926.50
4. Step 4: Simplify right side
   3,827.25x = 35,123,402.25
5. Step 5: Solve for x
   x = 35,123,402.25/3,827.25
6. Step 6: Final answer
   x = 9,177.19