Finding the Third Proportional to 37,834 and 55,705

Step by Step Solution

1. Step 1: Write the proportion equation
   37,834 : 55,705 = 55,705 : x
2. Step 2: Convert to fraction form
   37,834/55,705 = 55,705/x
3. Step 3: Cross multiply
   37,834x = 55,705 × 55,705
4. Step 4: Simplify right side
   37,834x = 3,103,047,025
5. Step 5: Solve for x
   x = 3,103,047,025/37,834
6. Step 6: Final answer
   x = 82,017.42