Finding the Third Proportional to 37,644 and 58,323

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 58,323 = 58,323 : x
2. Step 2: Convert to fraction form
   37,644/58,323 = 58,323/x
3. Step 3: Cross multiply
   37,644x = 58,323 × 58,323
4. Step 4: Simplify right side
   37,644x = 3,401,572,329
5. Step 5: Solve for x
   x = 3,401,572,329/37,644
6. Step 6: Final answer
   x = 90,361.61