Finding the Third Proportional to 31,293 and 65,174.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,293 : 65,174.63 = 65,174.63 : x
2. Step 2: Convert to fraction form
   31,293/65,174.63 = 65,174.63/x
3. Step 3: Cross multiply
   31,293x = 65,174.63 × 65,174.63
4. Step 4: Simplify right side
   31,293x = 4,247,731,743.89
5. Step 5: Solve for x
   x = 4,247,731,743.89/31,293
6. Step 6: Final answer
   x = 135,740.64