Finding the Third Proportional to 33,913 and 73,664

Step by Step Solution

1. Step 1: Write the proportion equation
   33,913 : 73,664 = 73,664 : x
2. Step 2: Convert to fraction form
   33,913/73,664 = 73,664/x
3. Step 3: Cross multiply
   33,913x = 73,664 × 73,664
4. Step 4: Simplify right side
   33,913x = 5,426,384,896
5. Step 5: Solve for x
   x = 5,426,384,896/33,913
6. Step 6: Final answer
   x = 160,008.99