Finding the Third Proportional to 51,777.56 and 81,838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51,777.56 : 81,838.69 = 81,838.69 : x
2. Step 2: Convert to fraction form
   51,777.56/81,838.69 = 81,838.69/x
3. Step 3: Cross multiply
   51,777.56x = 81,838.69 × 81,838.69
4. Step 4: Simplify right side
   51,777.56x = 6,697,570,771.72
5. Step 5: Solve for x
   x = 6,697,570,771.72/51,777.56
6. Step 6: Final answer
   x = 129,352.76