Finding the Third Proportional to 36,778 and 58,264

Step by Step Solution

1. Step 1: Write the proportion equation
   36,778 : 58,264 = 58,264 : x
2. Step 2: Convert to fraction form
   36,778/58,264 = 58,264/x
3. Step 3: Cross multiply
   36,778x = 58,264 × 58,264
4. Step 4: Simplify right side
   36,778x = 3,394,693,696
5. Step 5: Solve for x
   x = 3,394,693,696/36,778
6. Step 6: Final answer
   x = 92,302.29