Finding the Third Proportional to 20,624 and 31,034

Step by Step Solution

1. Step 1: Write the proportion equation
   20,624 : 31,034 = 31,034 : x
2. Step 2: Convert to fraction form
   20,624/31,034 = 31,034/x
3. Step 3: Cross multiply
   20,624x = 31,034 × 31,034
4. Step 4: Simplify right side
   20,624x = 963,109,156
5. Step 5: Solve for x
   x = 963,109,156/20,624
6. Step 6: Final answer
   x = 46,698.47