Finding the Third Proportional to 31,400 and 65,356

Step by Step Solution

1. Step 1: Write the proportion equation
   31,400 : 65,356 = 65,356 : x
2. Step 2: Convert to fraction form
   31,400/65,356 = 65,356/x
3. Step 3: Cross multiply
   31,400x = 65,356 × 65,356
4. Step 4: Simplify right side
   31,400x = 4,271,406,736
5. Step 5: Solve for x
   x = 4,271,406,736/31,400
6. Step 6: Final answer
   x = 136,032.06