Finding the Third Proportional to 5,692.25 and 8,653.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,692.25 : 8,653.69 = 8,653.69 : x
2. Step 2: Convert to fraction form
   5,692.25/8,653.69 = 8,653.69/x
3. Step 3: Cross multiply
   5,692.25x = 8,653.69 × 8,653.69
4. Step 4: Simplify right side
   5,692.25x = 74,886,307.35
5. Step 5: Solve for x
   x = 74,886,307.35/5,692.25
6. Step 6: Final answer
   x = 13,155.84