Finding the Third Proportional to 37,743 and 58,416

Step by Step Solution

1. Step 1: Write the proportion equation
   37,743 : 58,416 = 58,416 : x
2. Step 2: Convert to fraction form
   37,743/58,416 = 58,416/x
3. Step 3: Cross multiply
   37,743x = 58,416 × 58,416
4. Step 4: Simplify right side
   37,743x = 3,412,429,056
5. Step 5: Solve for x
   x = 3,412,429,056/37,743
6. Step 6: Final answer
   x = 90,412.24