Finding the Third Proportional to 27,501 and 42,894

Step by Step Solution

1. Step 1: Write the proportion equation
   27,501 : 42,894 = 42,894 : x
2. Step 2: Convert to fraction form
   27,501/42,894 = 42,894/x
3. Step 3: Cross multiply
   27,501x = 42,894 × 42,894
4. Step 4: Simplify right side
   27,501x = 1,839,895,236
5. Step 5: Solve for x
   x = 1,839,895,236/27,501
6. Step 6: Final answer
   x = 66,902.85