Finding the Third Proportional to 1,436.17 and 3,415.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436.17 : 3,415.29 = 3,415.29 : x
2. Step 2: Convert to fraction form
   1,436.17/3,415.29 = 3,415.29/x
3. Step 3: Cross multiply
   1,436.17x = 3,415.29 × 3,415.29
4. Step 4: Simplify right side
   1,436.17x = 11,664,199.38
5. Step 5: Solve for x
   x = 11,664,199.38/1,436.17
6. Step 6: Final answer
   x = 8,121.75