Finding the Third Proportional to 22,172 and 47,078

Step by Step Solution

1. Step 1: Write the proportion equation
   22,172 : 47,078 = 47,078 : x
2. Step 2: Convert to fraction form
   22,172/47,078 = 47,078/x
3. Step 3: Cross multiply
   22,172x = 47,078 × 47,078
4. Step 4: Simplify right side
   22,172x = 2,216,338,084
5. Step 5: Solve for x
   x = 2,216,338,084/22,172
6. Step 6: Final answer
   x = 99,961.13