Finding the Third Proportional to 4,624 and 10,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,624 : 10,200.50 = 10,200.50 : x
2. Step 2: Convert to fraction form
   4,624/10,200.50 = 10,200.50/x
3. Step 3: Cross multiply
   4,624x = 10,200.50 × 10,200.50
4. Step 4: Simplify right side
   4,624x = 104,050,200.25
5. Step 5: Solve for x
   x = 104,050,200.25/4,624
6. Step 6: Final answer
   x = 22,502.21