Finding the Third Proportional to 19,734 and 43,084

Step by Step Solution

1. Step 1: Write the proportion equation
   19,734 : 43,084 = 43,084 : x
2. Step 2: Convert to fraction form
   19,734/43,084 = 43,084/x
3. Step 3: Cross multiply
   19,734x = 43,084 × 43,084
4. Step 4: Simplify right side
   19,734x = 1,856,231,056
5. Step 5: Solve for x
   x = 1,856,231,056/19,734
6. Step 6: Final answer
   x = 94,062.59