Finding the Third Proportional to 33,828 and 73,776

Step by Step Solution

1. Step 1: Write the proportion equation
   33,828 : 73,776 = 73,776 : x
2. Step 2: Convert to fraction form
   33,828/73,776 = 73,776/x
3. Step 3: Cross multiply
   33,828x = 73,776 × 73,776
4. Step 4: Simplify right side
   33,828x = 5,442,898,176
5. Step 5: Solve for x
   x = 5,442,898,176/33,828
6. Step 6: Final answer
   x = 160,899.20