Finding the Third Proportional to 31,293 and 64,661.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,293 : 64,661.63 = 64,661.63 : x
2. Step 2: Convert to fraction form
   31,293/64,661.63 = 64,661.63/x
3. Step 3: Cross multiply
   31,293x = 64,661.63 × 64,661.63
4. Step 4: Simplify right side
   31,293x = 4,181,125,747.64
5. Step 5: Solve for x
   x = 4,181,125,747.64/31,293
6. Step 6: Final answer
   x = 133,612.17