Finding the Third Proportional to 33,829 and 52,584

Step by Step Solution

1. Step 1: Write the proportion equation
   33,829 : 52,584 = 52,584 : x
2. Step 2: Convert to fraction form
   33,829/52,584 = 52,584/x
3. Step 3: Cross multiply
   33,829x = 52,584 × 52,584
4. Step 4: Simplify right side
   33,829x = 2,765,077,056
5. Step 5: Solve for x
   x = 2,765,077,056/33,829
6. Step 6: Final answer
   x = 81,736.88