Finding the Third Proportional to 19,777.50 and 23,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,777.50 : 23,827.50 = 23,827.50 : x
2. Step 2: Convert to fraction form
   19,777.50/23,827.50 = 23,827.50/x
3. Step 3: Cross multiply
   19,777.50x = 23,827.50 × 23,827.50
4. Step 4: Simplify right side
   19,777.50x = 567,749,756.25
5. Step 5: Solve for x
   x = 567,749,756.25/19,777.50
6. Step 6: Final answer
   x = 28,706.85