Finding the Third Proportional to 15,926 and 34,084

Step by Step Solution

1. Step 1: Write the proportion equation
   15,926 : 34,084 = 34,084 : x
2. Step 2: Convert to fraction form
   15,926/34,084 = 34,084/x
3. Step 3: Cross multiply
   15,926x = 34,084 × 34,084
4. Step 4: Simplify right side
   15,926x = 1,161,719,056
5. Step 5: Solve for x
   x = 1,161,719,056/15,926
6. Step 6: Final answer
   x = 72,944.81