Finding the Third Proportional to 33,704 and 72,997

Step by Step Solution

1. Step 1: Write the proportion equation
   33,704 : 72,997 = 72,997 : x
2. Step 2: Convert to fraction form
   33,704/72,997 = 72,997/x
3. Step 3: Cross multiply
   33,704x = 72,997 × 72,997
4. Step 4: Simplify right side
   33,704x = 5,328,562,009
5. Step 5: Solve for x
   x = 5,328,562,009/33,704
6. Step 6: Final answer
   x = 158,098.80