Finding the Third Proportional to 31,694 and 64,262

Step by Step Solution

1. Step 1: Write the proportion equation
   31,694 : 64,262 = 64,262 : x
2. Step 2: Convert to fraction form
   31,694/64,262 = 64,262/x
3. Step 3: Cross multiply
   31,694x = 64,262 × 64,262
4. Step 4: Simplify right side
   31,694x = 4,129,604,644
5. Step 5: Solve for x
   x = 4,129,604,644/31,694
6. Step 6: Final answer
   x = 130,296.10