Finding the Third Proportional to 35,837 and 55,604

Step by Step Solution

1. Step 1: Write the proportion equation
   35,837 : 55,604 = 55,604 : x
2. Step 2: Convert to fraction form
   35,837/55,604 = 55,604/x
3. Step 3: Cross multiply
   35,837x = 55,604 × 55,604
4. Step 4: Simplify right side
   35,837x = 3,091,804,816
5. Step 5: Solve for x
   x = 3,091,804,816/35,837
6. Step 6: Final answer
   x = 86,274.10