Finding the Third Proportional to 5,624 and 8,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624 : 8,100.50 = 8,100.50 : x
2. Step 2: Convert to fraction form
   5,624/8,100.50 = 8,100.50/x
3. Step 3: Cross multiply
   5,624x = 8,100.50 × 8,100.50
4. Step 4: Simplify right side
   5,624x = 65,618,100.25
5. Step 5: Solve for x
   x = 65,618,100.25/5,624
6. Step 6: Final answer
   x = 11,667.51