Finding the Third Proportional to 22,363 and 47,858

Step by Step Solution

1. Step 1: Write the proportion equation
   22,363 : 47,858 = 47,858 : x
2. Step 2: Convert to fraction form
   22,363/47,858 = 47,858/x
3. Step 3: Cross multiply
   22,363x = 47,858 × 47,858
4. Step 4: Simplify right side
   22,363x = 2,290,388,164
5. Step 5: Solve for x
   x = 2,290,388,164/22,363
6. Step 6: Final answer
   x = 102,418.65