Finding the Third Proportional to 23,681 and 34,212

Step by Step Solution

1. Step 1: Write the proportion equation
   23,681 : 34,212 = 34,212 : x
2. Step 2: Convert to fraction form
   23,681/34,212 = 34,212/x
3. Step 3: Cross multiply
   23,681x = 34,212 × 34,212
4. Step 4: Simplify right side
   23,681x = 1,170,460,944
5. Step 5: Solve for x
   x = 1,170,460,944/23,681
6. Step 6: Final answer
   x = 49,426.16