Finding the Third Proportional to 37,754 and 57,219

Step by Step Solution

1. Step 1: Write the proportion equation
   37,754 : 57,219 = 57,219 : x
2. Step 2: Convert to fraction form
   37,754/57,219 = 57,219/x
3. Step 3: Cross multiply
   37,754x = 57,219 × 57,219
4. Step 4: Simplify right side
   37,754x = 3,274,013,961
5. Step 5: Solve for x
   x = 3,274,013,961/37,754
6. Step 6: Final answer
   x = 86,719.66