Finding the Third Proportional to 27,588 and 42,795

Step by Step Solution

1. Step 1: Write the proportion equation
   27,588 : 42,795 = 42,795 : x
2. Step 2: Convert to fraction form
   27,588/42,795 = 42,795/x
3. Step 3: Cross multiply
   27,588x = 42,795 × 42,795
4. Step 4: Simplify right side
   27,588x = 1,831,412,025
5. Step 5: Solve for x
   x = 1,831,412,025/27,588
6. Step 6: Final answer
   x = 66,384.37