Finding the Third Proportional to 14,782.50 and 19,977.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.50 : 19,977.75 = 19,977.75 : x
2. Step 2: Convert to fraction form
   14,782.50/19,977.75 = 19,977.75/x
3. Step 3: Cross multiply
   14,782.50x = 19,977.75 × 19,977.75
4. Step 4: Simplify right side
   14,782.50x = 399,110,495.06
5. Step 5: Solve for x
   x = 399,110,495.06/14,782.50
6. Step 6: Final answer
   x = 26,998.85