Finding the Third Proportional to 31,536 and 46,464

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 46,464 = 46,464 : x
2. Step 2: Convert to fraction form
   31,536/46,464 = 46,464/x
3. Step 3: Cross multiply
   31,536x = 46,464 × 46,464
4. Step 4: Simplify right side
   31,536x = 2,158,903,296
5. Step 5: Solve for x
   x = 2,158,903,296/31,536
6. Step 6: Final answer
   x = 68,458.37