Finding the Third Proportional to 31,426 and 45,447

Step by Step Solution

1. Step 1: Write the proportion equation
   31,426 : 45,447 = 45,447 : x
2. Step 2: Convert to fraction form
   31,426/45,447 = 45,447/x
3. Step 3: Cross multiply
   31,426x = 45,447 × 45,447
4. Step 4: Simplify right side
   31,426x = 2,065,429,809
5. Step 5: Solve for x
   x = 2,065,429,809/31,426
6. Step 6: Final answer
   x = 65,723.60