Finding the Third Proportional to 36,784 and 58,452

Step by Step Solution

1. Step 1: Write the proportion equation
   36,784 : 58,452 = 58,452 : x
2. Step 2: Convert to fraction form
   36,784/58,452 = 58,452/x
3. Step 3: Cross multiply
   36,784x = 58,452 × 58,452
4. Step 4: Simplify right side
   36,784x = 3,416,636,304
5. Step 5: Solve for x
   x = 3,416,636,304/36,784
6. Step 6: Final answer
   x = 92,883.76