Finding the Third Proportional to 20,116 and 47,564

Step by Step Solution

1. Step 1: Write the proportion equation
   20,116 : 47,564 = 47,564 : x
2. Step 2: Convert to fraction form
   20,116/47,564 = 47,564/x
3. Step 3: Cross multiply
   20,116x = 47,564 × 47,564
4. Step 4: Simplify right side
   20,116x = 2,262,334,096
5. Step 5: Solve for x
   x = 2,262,334,096/20,116
6. Step 6: Final answer
   x = 112,464.41