Finding the Third Proportional to 32,776 and 77,041

Step by Step Solution

1. Step 1: Write the proportion equation
   32,776 : 77,041 = 77,041 : x
2. Step 2: Convert to fraction form
   32,776/77,041 = 77,041/x
3. Step 3: Cross multiply
   32,776x = 77,041 × 77,041
4. Step 4: Simplify right side
   32,776x = 5,935,315,681
5. Step 5: Solve for x
   x = 5,935,315,681/32,776
6. Step 6: Final answer
   x = 181,087.25