Finding the Third Proportional to 37,505 and 58,049

Step by Step Solution

1. Step 1: Write the proportion equation
   37,505 : 58,049 = 58,049 : x
2. Step 2: Convert to fraction form
   37,505/58,049 = 58,049/x
3. Step 3: Cross multiply
   37,505x = 58,049 × 58,049
4. Step 4: Simplify right side
   37,505x = 3,369,686,401
5. Step 5: Solve for x
   x = 3,369,686,401/37,505
6. Step 6: Final answer
   x = 89,846.32