Finding the Third Proportional to 21,077 and 41,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,077 : 41,552.50 = 41,552.50 : x
2. Step 2: Convert to fraction form
   21,077/41,552.50 = 41,552.50/x
3. Step 3: Cross multiply
   21,077x = 41,552.50 × 41,552.50
4. Step 4: Simplify right side
   21,077x = 1,726,610,256.25
5. Step 5: Solve for x
   x = 1,726,610,256.25/21,077
6. Step 6: Final answer
   x = 81,919.17