Finding the Third Proportional to 31,518 and 46,654

Step by Step Solution

1. Step 1: Write the proportion equation
   31,518 : 46,654 = 46,654 : x
2. Step 2: Convert to fraction form
   31,518/46,654 = 46,654/x
3. Step 3: Cross multiply
   31,518x = 46,654 × 46,654
4. Step 4: Simplify right side
   31,518x = 2,176,595,716
5. Step 5: Solve for x
   x = 2,176,595,716/31,518
6. Step 6: Final answer
   x = 69,058.81