Finding the Third Proportional to 31,495 and 65,663

Step by Step Solution

1. Step 1: Write the proportion equation
   31,495 : 65,663 = 65,663 : x
2. Step 2: Convert to fraction form
   31,495/65,663 = 65,663/x
3. Step 3: Cross multiply
   31,495x = 65,663 × 65,663
4. Step 4: Simplify right side
   31,495x = 4,311,629,569
5. Step 5: Solve for x
   x = 4,311,629,569/31,495
6. Step 6: Final answer
   x = 136,898.86