Finding the Third Proportional to 21,819 and 46,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,819 : 46,234.50 = 46,234.50 : x
2. Step 2: Convert to fraction form
   21,819/46,234.50 = 46,234.50/x
3. Step 3: Cross multiply
   21,819x = 46,234.50 × 46,234.50
4. Step 4: Simplify right side
   21,819x = 2,137,628,990.25
5. Step 5: Solve for x
   x = 2,137,628,990.25/21,819
6. Step 6: Final answer
   x = 97,970.99