Finding the Third Proportional to 34,844 and 53,084

Step by Step Solution

1. Step 1: Write the proportion equation
   34,844 : 53,084 = 53,084 : x
2. Step 2: Convert to fraction form
   34,844/53,084 = 53,084/x
3. Step 3: Cross multiply
   34,844x = 53,084 × 53,084
4. Step 4: Simplify right side
   34,844x = 2,817,911,056
5. Step 5: Solve for x
   x = 2,817,911,056/34,844
6. Step 6: Final answer
   x = 80,872.20