Finding the Third Proportional to 21,221.25 and 46,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,221.25 : 46,678.50 = 46,678.50 : x
2. Step 2: Convert to fraction form
   21,221.25/46,678.50 = 46,678.50/x
3. Step 3: Cross multiply
   21,221.25x = 46,678.50 × 46,678.50
4. Step 4: Simplify right side
   21,221.25x = 2,178,882,362.25
5. Step 5: Solve for x
   x = 2,178,882,362.25/21,221.25
6. Step 6: Final answer
   x = 102,674.55