Finding the Third Proportional to 36,791 and 58,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,791 : 58,295.50 = 58,295.50 : x
2. Step 2: Convert to fraction form
   36,791/58,295.50 = 58,295.50/x
3. Step 3: Cross multiply
   36,791x = 58,295.50 × 58,295.50
4. Step 4: Simplify right side
   36,791x = 3,398,365,320.25
5. Step 5: Solve for x
   x = 3,398,365,320.25/36,791
6. Step 6: Final answer
   x = 92,369.47