Finding the Third Proportional to 21,309.47 and 31,964.20

Step by Step Solution

1. Step 1: Write the proportion equation
   21,309.47 : 31,964.20 = 31,964.20 : x
2. Step 2: Convert to fraction form
   21,309.47/31,964.20 = 31,964.20/x
3. Step 3: Cross multiply
   21,309.47x = 31,964.20 × 31,964.20
4. Step 4: Simplify right side
   21,309.47x = 1,021,710,281.42
5. Step 5: Solve for x
   x = 1,021,710,281.42/21,309.47
6. Step 6: Final answer
   x = 47,946.30