Finding the Third Proportional to 21,285 and 46,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,285 : 46,705.50 = 46,705.50 : x
2. Step 2: Convert to fraction form
   21,285/46,705.50 = 46,705.50/x
3. Step 3: Cross multiply
   21,285x = 46,705.50 × 46,705.50
4. Step 4: Simplify right side
   21,285x = 2,181,403,730.25
5. Step 5: Solve for x
   x = 2,181,403,730.25/21,285
6. Step 6: Final answer
   x = 102,485.49