Finding the Third Proportional to 35,844 and 55,614

Step by Step Solution

1. Step 1: Write the proportion equation
   35,844 : 55,614 = 55,614 : x
2. Step 2: Convert to fraction form
   35,844/55,614 = 55,614/x
3. Step 3: Cross multiply
   35,844x = 55,614 × 55,614
4. Step 4: Simplify right side
   35,844x = 3,092,916,996
5. Step 5: Solve for x
   x = 3,092,916,996/35,844
6. Step 6: Final answer
   x = 86,288.28