Finding the Third Proportional to 21,577 and 47,162

Step by Step Solution

1. Step 1: Write the proportion equation
   21,577 : 47,162 = 47,162 : x
2. Step 2: Convert to fraction form
   21,577/47,162 = 47,162/x
3. Step 3: Cross multiply
   21,577x = 47,162 × 47,162
4. Step 4: Simplify right side
   21,577x = 2,224,254,244
5. Step 5: Solve for x
   x = 2,224,254,244/21,577
6. Step 6: Final answer
   x = 103,084.50