Finding the Third Proportional to 35,665 and 55,196

Step by Step Solution

1. Step 1: Write the proportion equation
   35,665 : 55,196 = 55,196 : x
2. Step 2: Convert to fraction form
   35,665/55,196 = 55,196/x
3. Step 3: Cross multiply
   35,665x = 55,196 × 55,196
4. Step 4: Simplify right side
   35,665x = 3,046,598,416
5. Step 5: Solve for x
   x = 3,046,598,416/35,665
6. Step 6: Final answer
   x = 85,422.64