Finding the Third Proportional to 31,791 and 46,716

Step by Step Solution

1. Step 1: Write the proportion equation
   31,791 : 46,716 = 46,716 : x
2. Step 2: Convert to fraction form
   31,791/46,716 = 46,716/x
3. Step 3: Cross multiply
   31,791x = 46,716 × 46,716
4. Step 4: Simplify right side
   31,791x = 2,182,384,656
5. Step 5: Solve for x
   x = 2,182,384,656/31,791
6. Step 6: Final answer
   x = 68,647.88