Finding the Third Proportional to 35,661 and 55,219

Step by Step Solution

1. Step 1: Write the proportion equation
   35,661 : 55,219 = 55,219 : x
2. Step 2: Convert to fraction form
   35,661/55,219 = 55,219/x
3. Step 3: Cross multiply
   35,661x = 55,219 × 55,219
4. Step 4: Simplify right side
   35,661x = 3,049,137,961
5. Step 5: Solve for x
   x = 3,049,137,961/35,661
6. Step 6: Final answer
   x = 85,503.43