Finding the Third Proportional to 37,141 and 54,289

Step by Step Solution

1. Step 1: Write the proportion equation
   37,141 : 54,289 = 54,289 : x
2. Step 2: Convert to fraction form
   37,141/54,289 = 54,289/x
3. Step 3: Cross multiply
   37,141x = 54,289 × 54,289
4. Step 4: Simplify right side
   37,141x = 2,947,295,521
5. Step 5: Solve for x
   x = 2,947,295,521/37,141
6. Step 6: Final answer
   x = 79,354.23