Finding the Third Proportional to 21,617 and 47,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,617 : 47,021.50 = 47,021.50 : x
2. Step 2: Convert to fraction form
   21,617/47,021.50 = 47,021.50/x
3. Step 3: Cross multiply
   21,617x = 47,021.50 × 47,021.50
4. Step 4: Simplify right side
   21,617x = 2,211,021,462.25
5. Step 5: Solve for x
   x = 2,211,021,462.25/21,617
6. Step 6: Final answer
   x = 102,281.61