Finding the Third Proportional to 20,704 and 31,776

Step by Step Solution

1. Step 1: Write the proportion equation
   20,704 : 31,776 = 31,776 : x
2. Step 2: Convert to fraction form
   20,704/31,776 = 31,776/x
3. Step 3: Cross multiply
   20,704x = 31,776 × 31,776
4. Step 4: Simplify right side
   20,704x = 1,009,714,176
5. Step 5: Solve for x
   x = 1,009,714,176/20,704
6. Step 6: Final answer
   x = 48,769.04