Finding the Third Proportional to 31,423 and 65,034

Step by Step Solution

1. Step 1: Write the proportion equation
   31,423 : 65,034 = 65,034 : x
2. Step 2: Convert to fraction form
   31,423/65,034 = 65,034/x
3. Step 3: Cross multiply
   31,423x = 65,034 × 65,034
4. Step 4: Simplify right side
   31,423x = 4,229,421,156
5. Step 5: Solve for x
   x = 4,229,421,156/31,423
6. Step 6: Final answer
   x = 134,596.35