Finding the Third Proportional to 36,748 and 58,265

Step by Step Solution

1. Step 1: Write the proportion equation
   36,748 : 58,265 = 58,265 : x
2. Step 2: Convert to fraction form
   36,748/58,265 = 58,265/x
3. Step 3: Cross multiply
   36,748x = 58,265 × 58,265
4. Step 4: Simplify right side
   36,748x = 3,394,810,225
5. Step 5: Solve for x
   x = 3,394,810,225/36,748
6. Step 6: Final answer
   x = 92,380.82