Finding the Third Proportional to 35,663 and 55,222

Step by Step Solution

1. Step 1: Write the proportion equation
   35,663 : 55,222 = 55,222 : x
2. Step 2: Convert to fraction form
   35,663/55,222 = 55,222/x
3. Step 3: Cross multiply
   35,663x = 55,222 × 55,222
4. Step 4: Simplify right side
   35,663x = 3,049,469,284
5. Step 5: Solve for x
   x = 3,049,469,284/35,663
6. Step 6: Final answer
   x = 85,507.93