Finding the Third Proportional to 31,900 and 45,664

Step by Step Solution

1. Step 1: Write the proportion equation
   31,900 : 45,664 = 45,664 : x
2. Step 2: Convert to fraction form
   31,900/45,664 = 45,664/x
3. Step 3: Cross multiply
   31,900x = 45,664 × 45,664
4. Step 4: Simplify right side
   31,900x = 2,085,200,896
5. Step 5: Solve for x
   x = 2,085,200,896/31,900
6. Step 6: Final answer
   x = 65,366.80