Finding the Third Proportional to 39,165 and 57,333

Step by Step Solution

1. Step 1: Write the proportion equation
   39,165 : 57,333 = 57,333 : x
2. Step 2: Convert to fraction form
   39,165/57,333 = 57,333/x
3. Step 3: Cross multiply
   39,165x = 57,333 × 57,333
4. Step 4: Simplify right side
   39,165x = 3,287,072,889
5. Step 5: Solve for x
   x = 3,287,072,889/39,165
6. Step 6: Final answer
   x = 83,928.84