Finding the Third Proportional to 36,789 and 58,294

Step by Step Solution

1. Step 1: Write the proportion equation
   36,789 : 58,294 = 58,294 : x
2. Step 2: Convert to fraction form
   36,789/58,294 = 58,294/x
3. Step 3: Cross multiply
   36,789x = 58,294 × 58,294
4. Step 4: Simplify right side
   36,789x = 3,398,190,436
5. Step 5: Solve for x
   x = 3,398,190,436/36,789
6. Step 6: Final answer
   x = 92,369.74