Finding the Third Proportional to 32,772 and 77,034

Step by Step Solution

1. Step 1: Write the proportion equation
   32,772 : 77,034 = 77,034 : x
2. Step 2: Convert to fraction form
   32,772/77,034 = 77,034/x
3. Step 3: Cross multiply
   32,772x = 77,034 × 77,034
4. Step 4: Simplify right side
   32,772x = 5,934,237,156
5. Step 5: Solve for x
   x = 5,934,237,156/32,772
6. Step 6: Final answer
   x = 181,076.44