Finding the Third Proportional to 31,807 and 46,738

Step by Step Solution

1. Step 1: Write the proportion equation
   31,807 : 46,738 = 46,738 : x
2. Step 2: Convert to fraction form
   31,807/46,738 = 46,738/x
3. Step 3: Cross multiply
   31,807x = 46,738 × 46,738
4. Step 4: Simplify right side
   31,807x = 2,184,440,644
5. Step 5: Solve for x
   x = 2,184,440,644/31,807
6. Step 6: Final answer
   x = 68,677.98