Finding the Third Proportional to 31,293 and 65,184.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,293 : 65,184.75 = 65,184.75 : x
2. Step 2: Convert to fraction form
   31,293/65,184.75 = 65,184.75/x
3. Step 3: Cross multiply
   31,293x = 65,184.75 × 65,184.75
4. Step 4: Simplify right side
   31,293x = 4,249,051,632.56
5. Step 5: Solve for x
   x = 4,249,051,632.56/31,293
6. Step 6: Final answer
   x = 135,782.82