Finding the Third Proportional to 5,476.50 and 8,495.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,476.50 : 8,495.63 = 8,495.63 : x
2. Step 2: Convert to fraction form
   5,476.50/8,495.63 = 8,495.63/x
3. Step 3: Cross multiply
   5,476.50x = 8,495.63 × 8,495.63
4. Step 4: Simplify right side
   5,476.50x = 72,175,644.14
5. Step 5: Solve for x
   x = 72,175,644.14/5,476.50
6. Step 6: Final answer
   x = 13,179.16