Finding the Third Proportional to 35,848 and 55,644

Step by Step Solution

1. Step 1: Write the proportion equation
   35,848 : 55,644 = 55,644 : x
2. Step 2: Convert to fraction form
   35,848/55,644 = 55,644/x
3. Step 3: Cross multiply
   35,848x = 55,644 × 55,644
4. Step 4: Simplify right side
   35,848x = 3,096,254,736
5. Step 5: Solve for x
   x = 3,096,254,736/35,848
6. Step 6: Final answer
   x = 86,371.76