Finding the Third Proportional to 23,522 and 48,196

Step by Step Solution

1. Step 1: Write the proportion equation
   23,522 : 48,196 = 48,196 : x
2. Step 2: Convert to fraction form
   23,522/48,196 = 48,196/x
3. Step 3: Cross multiply
   23,522x = 48,196 × 48,196
4. Step 4: Simplify right side
   23,522x = 2,322,854,416
5. Step 5: Solve for x
   x = 2,322,854,416/23,522
6. Step 6: Final answer
   x = 98,752.42