Finding the Third Proportional to 35,868 and 55,314

Step by Step Solution

1. Step 1: Write the proportion equation
   35,868 : 55,314 = 55,314 : x
2. Step 2: Convert to fraction form
   35,868/55,314 = 55,314/x
3. Step 3: Cross multiply
   35,868x = 55,314 × 55,314
4. Step 4: Simplify right side
   35,868x = 3,059,638,596
5. Step 5: Solve for x
   x = 3,059,638,596/35,868
6. Step 6: Final answer
   x = 85,302.74