Finding the Third Proportional to 33,762 and 73,886

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762 : 73,886 = 73,886 : x
2. Step 2: Convert to fraction form
   33,762/73,886 = 73,886/x
3. Step 3: Cross multiply
   33,762x = 73,886 × 73,886
4. Step 4: Simplify right side
   33,762x = 5,459,140,996
5. Step 5: Solve for x
   x = 5,459,140,996/33,762
6. Step 6: Final answer
   x = 161,694.83