Finding the Third Proportional to 35,576 and 55,806

Step by Step Solution

1. Step 1: Write the proportion equation
   35,576 : 55,806 = 55,806 : x
2. Step 2: Convert to fraction form
   35,576/55,806 = 55,806/x
3. Step 3: Cross multiply
   35,576x = 55,806 × 55,806
4. Step 4: Simplify right side
   35,576x = 3,114,309,636
5. Step 5: Solve for x
   x = 3,114,309,636/35,576
6. Step 6: Final answer
   x = 87,539.62