Finding the Third Proportional to 35,690 and 55,381

Step by Step Solution

1. Step 1: Write the proportion equation
   35,690 : 55,381 = 55,381 : x
2. Step 2: Convert to fraction form
   35,690/55,381 = 55,381/x
3. Step 3: Cross multiply
   35,690x = 55,381 × 55,381
4. Step 4: Simplify right side
   35,690x = 3,067,055,161
5. Step 5: Solve for x
   x = 3,067,055,161/35,690
6. Step 6: Final answer
   x = 85,935.98