Finding the Third Proportional to 27,184 and 42,013

Step by Step Solution

1. Step 1: Write the proportion equation
   27,184 : 42,013 = 42,013 : x
2. Step 2: Convert to fraction form
   27,184/42,013 = 42,013/x
3. Step 3: Cross multiply
   27,184x = 42,013 × 42,013
4. Step 4: Simplify right side
   27,184x = 1,765,092,169
5. Step 5: Solve for x
   x = 1,765,092,169/27,184
6. Step 6: Final answer
   x = 64,931.29