Finding the Third Proportional to 35,766 and 53,226

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 53,226 = 53,226 : x
2. Step 2: Convert to fraction form
   35,766/53,226 = 53,226/x
3. Step 3: Cross multiply
   35,766x = 53,226 × 53,226
4. Step 4: Simplify right side
   35,766x = 2,833,007,076
5. Step 5: Solve for x
   x = 2,833,007,076/35,766
6. Step 6: Final answer
   x = 79,209.50