Finding the Third Proportional to 5,692.50 and 8,062.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,692.50 : 8,062.88 = 8,062.88 : x
2. Step 2: Convert to fraction form
   5,692.50/8,062.88 = 8,062.88/x
3. Step 3: Cross multiply
   5,692.50x = 8,062.88 × 8,062.88
4. Step 4: Simplify right side
   5,692.50x = 65,009,953.27
5. Step 5: Solve for x
   x = 65,009,953.27/5,692.50
6. Step 6: Final answer
   x = 11,420.28