Finding the Third Proportional to 21,190 and 31,776

Step by Step Solution

1. Step 1: Write the proportion equation
   21,190 : 31,776 = 31,776 : x
2. Step 2: Convert to fraction form
   21,190/31,776 = 31,776/x
3. Step 3: Cross multiply
   21,190x = 31,776 × 31,776
4. Step 4: Simplify right side
   21,190x = 1,009,714,176
5. Step 5: Solve for x
   x = 1,009,714,176/21,190
6. Step 6: Final answer
   x = 47,650.50