Finding the Third Proportional to 35,380 and 55,226

Step by Step Solution

1. Step 1: Write the proportion equation
   35,380 : 55,226 = 55,226 : x
2. Step 2: Convert to fraction form
   35,380/55,226 = 55,226/x
3. Step 3: Cross multiply
   35,380x = 55,226 × 55,226
4. Step 4: Simplify right side
   35,380x = 3,049,911,076
5. Step 5: Solve for x
   x = 3,049,911,076/35,380
6. Step 6: Final answer
   x = 86,204.38