Finding the Third Proportional to 35,806 and 55,329

Step by Step Solution

1. Step 1: Write the proportion equation
   35,806 : 55,329 = 55,329 : x
2. Step 2: Convert to fraction form
   35,806/55,329 = 55,329/x
3. Step 3: Cross multiply
   35,806x = 55,329 × 55,329
4. Step 4: Simplify right side
   35,806x = 3,061,298,241
5. Step 5: Solve for x
   x = 3,061,298,241/35,806
6. Step 6: Final answer
   x = 85,496.79