Finding the Third Proportional to 37,134 and 43,614

Step by Step Solution

1. Step 1: Write the proportion equation
   37,134 : 43,614 = 43,614 : x
2. Step 2: Convert to fraction form
   37,134/43,614 = 43,614/x
3. Step 3: Cross multiply
   37,134x = 43,614 × 43,614
4. Step 4: Simplify right side
   37,134x = 1,902,180,996
5. Step 5: Solve for x
   x = 1,902,180,996/37,134
6. Step 6: Final answer
   x = 51,224.78