Finding the Third Proportional to 56,776.57 and 77,168.64

Step by Step Solution

1. Step 1: Write the proportion equation
   56,776.57 : 77,168.64 = 77,168.64 : x
2. Step 2: Convert to fraction form
   56,776.57/77,168.64 = 77,168.64/x
3. Step 3: Cross multiply
   56,776.57x = 77,168.64 × 77,168.64
4. Step 4: Simplify right side
   56,776.57x = 5,954,998,493.03
5. Step 5: Solve for x
   x = 5,954,998,493.03/56,776.57
6. Step 6: Final answer
   x = 104,884.79