Finding the Third Proportional to 21,653 and 41,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,653 : 41,705.50 = 41,705.50 : x
2. Step 2: Convert to fraction form
   21,653/41,705.50 = 41,705.50/x
3. Step 3: Cross multiply
   21,653x = 41,705.50 × 41,705.50
4. Step 4: Simplify right side
   21,653x = 1,739,348,730.25
5. Step 5: Solve for x
   x = 1,739,348,730.25/21,653
6. Step 6: Final answer
   x = 80,328.30