Finding the Third Proportional to 31,694 and 69,584

Step by Step Solution

1. Step 1: Write the proportion equation
   31,694 : 69,584 = 69,584 : x
2. Step 2: Convert to fraction form
   31,694/69,584 = 69,584/x
3. Step 3: Cross multiply
   31,694x = 69,584 × 69,584
4. Step 4: Simplify right side
   31,694x = 4,841,933,056
5. Step 5: Solve for x
   x = 4,841,933,056/31,694
6. Step 6: Final answer
   x = 152,771.28