Finding the Third Proportional to 24,636 and 52,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,636 : 52,213.50 = 52,213.50 : x
2. Step 2: Convert to fraction form
   24,636/52,213.50 = 52,213.50/x
3. Step 3: Cross multiply
   24,636x = 52,213.50 × 52,213.50
4. Step 4: Simplify right side
   24,636x = 2,726,249,582.25
5. Step 5: Solve for x
   x = 2,726,249,582.25/24,636
6. Step 6: Final answer
   x = 110,661.21