Finding the Third Proportional to 31,782 and 46,754

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 46,754 = 46,754 : x
2. Step 2: Convert to fraction form
   31,782/46,754 = 46,754/x
3. Step 3: Cross multiply
   31,782x = 46,754 × 46,754
4. Step 4: Simplify right side
   31,782x = 2,185,936,516
5. Step 5: Solve for x
   x = 2,185,936,516/31,782
6. Step 6: Final answer
   x = 68,779.07