Finding the Third Proportional to 21,677 and 47,404

Step by Step Solution

1. Step 1: Write the proportion equation
   21,677 : 47,404 = 47,404 : x
2. Step 2: Convert to fraction form
   21,677/47,404 = 47,404/x
3. Step 3: Cross multiply
   21,677x = 47,404 × 47,404
4. Step 4: Simplify right side
   21,677x = 2,247,139,216
5. Step 5: Solve for x
   x = 2,247,139,216/21,677
6. Step 6: Final answer
   x = 103,664.68