Finding the Third Proportional to 35,677 and 55,559

Step by Step Solution

1. Step 1: Write the proportion equation
   35,677 : 55,559 = 55,559 : x
2. Step 2: Convert to fraction form
   35,677/55,559 = 55,559/x
3. Step 3: Cross multiply
   35,677x = 55,559 × 55,559
4. Step 4: Simplify right side
   35,677x = 3,086,802,481
5. Step 5: Solve for x
   x = 3,086,802,481/35,677
6. Step 6: Final answer
   x = 86,520.80