Finding the Third Proportional to 20,491 and 31,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,491 : 31,646.50 = 31,646.50 : x
2. Step 2: Convert to fraction form
   20,491/31,646.50 = 31,646.50/x
3. Step 3: Cross multiply
   20,491x = 31,646.50 × 31,646.50
4. Step 4: Simplify right side
   20,491x = 1,001,500,962.25
5. Step 5: Solve for x
   x = 1,001,500,962.25/20,491
6. Step 6: Final answer
   x = 48,875.16