Finding the Third Proportional to 20,097 and 40,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,097 : 40,741.50 = 40,741.50 : x
2. Step 2: Convert to fraction form
   20,097/40,741.50 = 40,741.50/x
3. Step 3: Cross multiply
   20,097x = 40,741.50 × 40,741.50
4. Step 4: Simplify right side
   20,097x = 1,659,869,822.25
5. Step 5: Solve for x
   x = 1,659,869,822.25/20,097
6. Step 6: Final answer
   x = 82,592.92