Finding the Third Proportional to 37,596 and 58,122

Step by Step Solution

1. Step 1: Write the proportion equation
   37,596 : 58,122 = 58,122 : x
2. Step 2: Convert to fraction form
   37,596/58,122 = 58,122/x
3. Step 3: Cross multiply
   37,596x = 58,122 × 58,122
4. Step 4: Simplify right side
   37,596x = 3,378,166,884
5. Step 5: Solve for x
   x = 3,378,166,884/37,596
6. Step 6: Final answer
   x = 89,854.42