Finding the Third Proportional to 4,492.69 and 6,895.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,492.69 : 6,895.69 = 6,895.69 : x
2. Step 2: Convert to fraction form
   4,492.69/6,895.69 = 6,895.69/x
3. Step 3: Cross multiply
   4,492.69x = 6,895.69 × 6,895.69
4. Step 4: Simplify right side
   4,492.69x = 47,550,506.10
5. Step 5: Solve for x
   x = 47,550,506.10/4,492.69
6. Step 6: Final answer
   x = 10,583.98