Finding the Third Proportional to 20,872 and 45,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,872 : 45,723.50 = 45,723.50 : x
2. Step 2: Convert to fraction form
   20,872/45,723.50 = 45,723.50/x
3. Step 3: Cross multiply
   20,872x = 45,723.50 × 45,723.50
4. Step 4: Simplify right side
   20,872x = 2,090,638,452.25
5. Step 5: Solve for x
   x = 2,090,638,452.25/20,872
6. Step 6: Final answer
   x = 100,164.74