Finding the Third Proportional to 27,965 and 42,355

Step by Step Solution

1. Step 1: Write the proportion equation
   27,965 : 42,355 = 42,355 : x
2. Step 2: Convert to fraction form
   27,965/42,355 = 42,355/x
3. Step 3: Cross multiply
   27,965x = 42,355 × 42,355
4. Step 4: Simplify right side
   27,965x = 1,793,946,025
5. Step 5: Solve for x
   x = 1,793,946,025/27,965
6. Step 6: Final answer
   x = 64,149.69