Finding the Third Proportional to 33,834.50 and 74,419

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834.50 : 74,419 = 74,419 : x
2. Step 2: Convert to fraction form
   33,834.50/74,419 = 74,419/x
3. Step 3: Cross multiply
   33,834.50x = 74,419 × 74,419
4. Step 4: Simplify right side
   33,834.50x = 5,538,187,561
5. Step 5: Solve for x
   x = 5,538,187,561/33,834.50
6. Step 6: Final answer
   x = 163,684.63