Finding the Third Proportional to 21,537 and 47,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,537 : 47,074.50 = 47,074.50 : x
2. Step 2: Convert to fraction form
   21,537/47,074.50 = 47,074.50/x
3. Step 3: Cross multiply
   21,537x = 47,074.50 × 47,074.50
4. Step 4: Simplify right side
   21,537x = 2,216,008,550.25
5. Step 5: Solve for x
   x = 2,216,008,550.25/21,537
6. Step 6: Final answer
   x = 102,893.09