Finding the Third Proportional to 20,202 and 41,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,202 : 41,407.50 = 41,407.50 : x
2. Step 2: Convert to fraction form
   20,202/41,407.50 = 41,407.50/x
3. Step 3: Cross multiply
   20,202x = 41,407.50 × 41,407.50
4. Step 4: Simplify right side
   20,202x = 1,714,581,056.25
5. Step 5: Solve for x
   x = 1,714,581,056.25/20,202
6. Step 6: Final answer
   x = 84,871.85