Finding the Third Proportional to 23,376 and 37,212

Step by Step Solution

1. Step 1: Write the proportion equation
   23,376 : 37,212 = 37,212 : x
2. Step 2: Convert to fraction form
   23,376/37,212 = 37,212/x
3. Step 3: Cross multiply
   23,376x = 37,212 × 37,212
4. Step 4: Simplify right side
   23,376x = 1,384,732,944
5. Step 5: Solve for x
   x = 1,384,732,944/23,376
6. Step 6: Final answer
   x = 59,237.38