Finding the Third Proportional to 37,578 and 58,518

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578 : 58,518 = 58,518 : x
2. Step 2: Convert to fraction form
   37,578/58,518 = 58,518/x
3. Step 3: Cross multiply
   37,578x = 58,518 × 58,518
4. Step 4: Simplify right side
   37,578x = 3,424,356,324
5. Step 5: Solve for x
   x = 3,424,356,324/37,578
6. Step 6: Final answer
   x = 91,126.63