Finding the Third Proportional to 35,823 and 55,374

Step by Step Solution

1. Step 1: Write the proportion equation
   35,823 : 55,374 = 55,374 : x
2. Step 2: Convert to fraction form
   35,823/55,374 = 55,374/x
3. Step 3: Cross multiply
   35,823x = 55,374 × 55,374
4. Step 4: Simplify right side
   35,823x = 3,066,279,876
5. Step 5: Solve for x
   x = 3,066,279,876/35,823
6. Step 6: Final answer
   x = 85,595.28