Finding the Third Proportional to 31,653 and 69,345

Step by Step Solution

1. Step 1: Write the proportion equation
   31,653 : 69,345 = 69,345 : x
2. Step 2: Convert to fraction form
   31,653/69,345 = 69,345/x
3. Step 3: Cross multiply
   31,653x = 69,345 × 69,345
4. Step 4: Simplify right side
   31,653x = 4,808,729,025
5. Step 5: Solve for x
   x = 4,808,729,025/31,653
6. Step 6: Final answer
   x = 151,920.17