Finding the Third Proportional to 31,471 and 64,399

Step by Step Solution

1. Step 1: Write the proportion equation
   31,471 : 64,399 = 64,399 : x
2. Step 2: Convert to fraction form
   31,471/64,399 = 64,399/x
3. Step 3: Cross multiply
   31,471x = 64,399 × 64,399
4. Step 4: Simplify right side
   31,471x = 4,147,231,201
5. Step 5: Solve for x
   x = 4,147,231,201/31,471
6. Step 6: Final answer
   x = 131,779.45