Finding the Third Proportional to 3,696.50 and 5,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,696.50 : 5,531.50 = 5,531.50 : x
2. Step 2: Convert to fraction form
   3,696.50/5,531.50 = 5,531.50/x
3. Step 3: Cross multiply
   3,696.50x = 5,531.50 × 5,531.50
4. Step 4: Simplify right side
   3,696.50x = 30,597,492.25
5. Step 5: Solve for x
   x = 30,597,492.25/3,696.50
6. Step 6: Final answer
   x = 8,277.42