Finding the Third Proportional to 19,777.50 and 31,488.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,777.50 : 31,488.75 = 31,488.75 : x
2. Step 2: Convert to fraction form
   19,777.50/31,488.75 = 31,488.75/x
3. Step 3: Cross multiply
   19,777.50x = 31,488.75 × 31,488.75
4. Step 4: Simplify right side
   19,777.50x = 991,541,376.56
5. Step 5: Solve for x
   x = 991,541,376.56/19,777.50
6. Step 6: Final answer
   x = 50,134.82