Finding the Third Proportional to 22,796 and 47,404

Step by Step Solution

1. Step 1: Write the proportion equation
   22,796 : 47,404 = 47,404 : x
2. Step 2: Convert to fraction form
   22,796/47,404 = 47,404/x
3. Step 3: Cross multiply
   22,796x = 47,404 × 47,404
4. Step 4: Simplify right side
   22,796x = 2,247,139,216
5. Step 5: Solve for x
   x = 2,247,139,216/22,796
6. Step 6: Final answer
   x = 98,576.03