Finding the Third Proportional to 37,767 and 58,275

Step by Step Solution

1. Step 1: Write the proportion equation
   37,767 : 58,275 = 58,275 : x
2. Step 2: Convert to fraction form
   37,767/58,275 = 58,275/x
3. Step 3: Cross multiply
   37,767x = 58,275 × 58,275
4. Step 4: Simplify right side
   37,767x = 3,395,975,625
5. Step 5: Solve for x
   x = 3,395,975,625/37,767
6. Step 6: Final answer
   x = 89,919.13