Finding the Third Proportional to 34,686 and 53,685

Step by Step Solution

1. Step 1: Write the proportion equation
   34,686 : 53,685 = 53,685 : x
2. Step 2: Convert to fraction form
   34,686/53,685 = 53,685/x
3. Step 3: Cross multiply
   34,686x = 53,685 × 53,685
4. Step 4: Simplify right side
   34,686x = 2,882,079,225
5. Step 5: Solve for x
   x = 2,882,079,225/34,686
6. Step 6: Final answer
   x = 83,090.56