Finding the Third Proportional to 20,871 and 45,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,871 : 45,913.50 = 45,913.50 : x
2. Step 2: Convert to fraction form
   20,871/45,913.50 = 45,913.50/x
3. Step 3: Cross multiply
   20,871x = 45,913.50 × 45,913.50
4. Step 4: Simplify right side
   20,871x = 2,108,049,482.25
5. Step 5: Solve for x
   x = 2,108,049,482.25/20,871
6. Step 6: Final answer
   x = 101,003.76