Finding the Third Proportional to 21,816 and 46,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,816 : 46,228.50 = 46,228.50 : x
2. Step 2: Convert to fraction form
   21,816/46,228.50 = 46,228.50/x
3. Step 3: Cross multiply
   21,816x = 46,228.50 × 46,228.50
4. Step 4: Simplify right side
   21,816x = 2,137,074,212.25
5. Step 5: Solve for x
   x = 2,137,074,212.25/21,816
6. Step 6: Final answer
   x = 97,959.03