Finding the Third Proportional to 6,404.38 and 9,692.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.38 : 9,692.00 = 9,692.00 : x
2. Step 2: Convert to fraction form
   6,404.38/9,692.00 = 9,692.00/x
3. Step 3: Cross multiply
   6,404.38x = 9,692.00 × 9,692.00
4. Step 4: Simplify right side
   6,404.38x = 93,934,826.14
5. Step 5: Solve for x
   x = 93,934,826.14/6,404.38
6. Step 6: Final answer
   x = 14,667.28