Finding the Third Proportional to 31,788 and 46,458

Step by Step Solution

1. Step 1: Write the proportion equation
   31,788 : 46,458 = 46,458 : x
2. Step 2: Convert to fraction form
   31,788/46,458 = 46,458/x
3. Step 3: Cross multiply
   31,788x = 46,458 × 46,458
4. Step 4: Simplify right side
   31,788x = 2,158,345,764
5. Step 5: Solve for x
   x = 2,158,345,764/31,788
6. Step 6: Final answer
   x = 67,898.13