Finding the Third Proportional to 31,594 and 46,958

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594 : 46,958 = 46,958 : x
2. Step 2: Convert to fraction form
   31,594/46,958 = 46,958/x
3. Step 3: Cross multiply
   31,594x = 46,958 × 46,958
4. Step 4: Simplify right side
   31,594x = 2,205,053,764
5. Step 5: Solve for x
   x = 2,205,053,764/31,594
6. Step 6: Final answer
   x = 69,793.43