Finding the Third Proportional to 37,820 and 54,134

Step by Step Solution

1. Step 1: Write the proportion equation
   37,820 : 54,134 = 54,134 : x
2. Step 2: Convert to fraction form
   37,820/54,134 = 54,134/x
3. Step 3: Cross multiply
   37,820x = 54,134 × 54,134
4. Step 4: Simplify right side
   37,820x = 2,930,489,956
5. Step 5: Solve for x
   x = 2,930,489,956/37,820
6. Step 6: Final answer
   x = 77,485.19