Finding the Third Proportional to 23,200 and 34,764

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 34,764 = 34,764 : x
2. Step 2: Convert to fraction form
   23,200/34,764 = 34,764/x
3. Step 3: Cross multiply
   23,200x = 34,764 × 34,764
4. Step 4: Simplify right side
   23,200x = 1,208,535,696
5. Step 5: Solve for x
   x = 1,208,535,696/23,200
6. Step 6: Final answer
   x = 52,092.06