Finding the Third Proportional to 33,888 and 52,680

Step by Step Solution

1. Step 1: Write the proportion equation
   33,888 : 52,680 = 52,680 : x
2. Step 2: Convert to fraction form
   33,888/52,680 = 52,680/x
3. Step 3: Cross multiply
   33,888x = 52,680 × 52,680
4. Step 4: Simplify right side
   33,888x = 2,775,182,400
5. Step 5: Solve for x
   x = 2,775,182,400/33,888
6. Step 6: Final answer
   x = 81,892.78