Finding the Third Proportional to 7,591.50 and 16,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,591.50 : 16,688.25 = 16,688.25 : x
2. Step 2: Convert to fraction form
   7,591.50/16,688.25 = 16,688.25/x
3. Step 3: Cross multiply
   7,591.50x = 16,688.25 × 16,688.25
4. Step 4: Simplify right side
   7,591.50x = 278,497,688.06
5. Step 5: Solve for x
   x = 278,497,688.06/7,591.50
6. Step 6: Final answer
   x = 36,685.46