Finding the Third Proportional to 37,583 and 59,467

Step by Step Solution

1. Step 1: Write the proportion equation
   37,583 : 59,467 = 59,467 : x
2. Step 2: Convert to fraction form
   37,583/59,467 = 59,467/x
3. Step 3: Cross multiply
   37,583x = 59,467 × 59,467
4. Step 4: Simplify right side
   37,583x = 3,536,324,089
5. Step 5: Solve for x
   x = 3,536,324,089/37,583
6. Step 6: Final answer
   x = 94,093.71