Finding the Third Proportional to 35,623 and 55,379

Step by Step Solution

1. Step 1: Write the proportion equation
   35,623 : 55,379 = 55,379 : x
2. Step 2: Convert to fraction form
   35,623/55,379 = 55,379/x
3. Step 3: Cross multiply
   35,623x = 55,379 × 55,379
4. Step 4: Simplify right side
   35,623x = 3,066,833,641
5. Step 5: Solve for x
   x = 3,066,833,641/35,623
6. Step 6: Final answer
   x = 86,091.39