Finding the Third Proportional to 36,774 and 58,262.63

Step by Step Solution

1. Step 1: Write the proportion equation
   36,774 : 58,262.63 = 58,262.63 : x
2. Step 2: Convert to fraction form
   36,774/58,262.63 = 58,262.63/x
3. Step 3: Cross multiply
   36,774x = 58,262.63 × 58,262.63
4. Step 4: Simplify right side
   36,774x = 3,394,533,471.89
5. Step 5: Solve for x
   x = 3,394,533,471.89/36,774
6. Step 6: Final answer
   x = 92,307.97