Finding the Third Proportional to 21,870 and 47,196

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870 : 47,196 = 47,196 : x
2. Step 2: Convert to fraction form
   21,870/47,196 = 47,196/x
3. Step 3: Cross multiply
   21,870x = 47,196 × 47,196
4. Step 4: Simplify right side
   21,870x = 2,227,462,416
5. Step 5: Solve for x
   x = 2,227,462,416/21,870
6. Step 6: Final answer
   x = 101,850.13