Finding the Third Proportional to 31,694 and 67,887

Step by Step Solution

1. Step 1: Write the proportion equation
   31,694 : 67,887 = 67,887 : x
2. Step 2: Convert to fraction form
   31,694/67,887 = 67,887/x
3. Step 3: Cross multiply
   31,694x = 67,887 × 67,887
4. Step 4: Simplify right side
   31,694x = 4,608,644,769
5. Step 5: Solve for x
   x = 4,608,644,769/31,694
6. Step 6: Final answer
   x = 145,410.64