Finding the Third Proportional to 24,621 and 52,196

Step by Step Solution

1. Step 1: Write the proportion equation
   24,621 : 52,196 = 52,196 : x
2. Step 2: Convert to fraction form
   24,621/52,196 = 52,196/x
3. Step 3: Cross multiply
   24,621x = 52,196 × 52,196
4. Step 4: Simplify right side
   24,621x = 2,724,422,416
5. Step 5: Solve for x
   x = 2,724,422,416/24,621
6. Step 6: Final answer
   x = 110,654.42