Finding the Third Proportional to 31,644 and 46,164

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 46,164 = 46,164 : x
2. Step 2: Convert to fraction form
   31,644/46,164 = 46,164/x
3. Step 3: Cross multiply
   31,644x = 46,164 × 46,164
4. Step 4: Simplify right side
   31,644x = 2,131,114,896
5. Step 5: Solve for x
   x = 2,131,114,896/31,644
6. Step 6: Final answer
   x = 67,346.57