Finding the Third Proportional to 23,850 and 35,764

Step by Step Solution

1. Step 1: Write the proportion equation
   23,850 : 35,764 = 35,764 : x
2. Step 2: Convert to fraction form
   23,850/35,764 = 35,764/x
3. Step 3: Cross multiply
   23,850x = 35,764 × 35,764
4. Step 4: Simplify right side
   23,850x = 1,279,063,696
5. Step 5: Solve for x
   x = 1,279,063,696/23,850
6. Step 6: Final answer
   x = 53,629.51