Finding the Third Proportional to 33,680 and 52,838

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680 : 52,838 = 52,838 : x
2. Step 2: Convert to fraction form
   33,680/52,838 = 52,838/x
3. Step 3: Cross multiply
   33,680x = 52,838 × 52,838
4. Step 4: Simplify right side
   33,680x = 2,791,854,244
5. Step 5: Solve for x
   x = 2,791,854,244/33,680
6. Step 6: Final answer
   x = 82,893.53