Finding the Third Proportional to 1,505.25 and 3,516.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.25 : 3,516.38 = 3,516.38 : x
2. Step 2: Convert to fraction form
   1,505.25/3,516.38 = 3,516.38/x
3. Step 3: Cross multiply
   1,505.25x = 3,516.38 × 3,516.38
4. Step 4: Simplify right side
   1,505.25x = 12,364,893.14
5. Step 5: Solve for x
   x = 12,364,893.14/1,505.25
6. Step 6: Final answer
   x = 8,214.51