Finding the Third Proportional to 54,021.50 and 81,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,021.50 : 81,777.50 = 81,777.50 : x
2. Step 2: Convert to fraction form
   54,021.50/81,777.50 = 81,777.50/x
3. Step 3: Cross multiply
   54,021.50x = 81,777.50 × 81,777.50
4. Step 4: Simplify right side
   54,021.50x = 6,687,559,506.25
5. Step 5: Solve for x
   x = 6,687,559,506.25/54,021.50
6. Step 6: Final answer
   x = 123,794.41