Finding the Third Proportional to 37,569 and 58,257

Step by Step Solution

1. Step 1: Write the proportion equation
   37,569 : 58,257 = 58,257 : x
2. Step 2: Convert to fraction form
   37,569/58,257 = 58,257/x
3. Step 3: Cross multiply
   37,569x = 58,257 × 58,257
4. Step 4: Simplify right side
   37,569x = 3,393,878,049
5. Step 5: Solve for x
   x = 3,393,878,049/37,569
6. Step 6: Final answer
   x = 90,337.19