Finding the Third Proportional to 35,834 and 57,531

Step by Step Solution

1. Step 1: Write the proportion equation
   35,834 : 57,531 = 57,531 : x
2. Step 2: Convert to fraction form
   35,834/57,531 = 57,531/x
3. Step 3: Cross multiply
   35,834x = 57,531 × 57,531
4. Step 4: Simplify right side
   35,834x = 3,309,815,961
5. Step 5: Solve for x
   x = 3,309,815,961/35,834
6. Step 6: Final answer
   x = 92,365.24