Finding the Third Proportional to 31,514 and 64,646

Step by Step Solution

1. Step 1: Write the proportion equation
   31,514 : 64,646 = 64,646 : x
2. Step 2: Convert to fraction form
   31,514/64,646 = 64,646/x
3. Step 3: Cross multiply
   31,514x = 64,646 × 64,646
4. Step 4: Simplify right side
   31,514x = 4,179,105,316
5. Step 5: Solve for x
   x = 4,179,105,316/31,514
6. Step 6: Final answer
   x = 132,611.07