Finding the Third Proportional to 31,815 and 46,791

Step by Step Solution

1. Step 1: Write the proportion equation
   31,815 : 46,791 = 46,791 : x
2. Step 2: Convert to fraction form
   31,815/46,791 = 46,791/x
3. Step 3: Cross multiply
   31,815x = 46,791 × 46,791
4. Step 4: Simplify right side
   31,815x = 2,189,397,681
5. Step 5: Solve for x
   x = 2,189,397,681/31,815
6. Step 6: Final answer
   x = 68,816.52