Finding the Third Proportional to 37,219 and 53,061

Step by Step Solution

1. Step 1: Write the proportion equation
   37,219 : 53,061 = 53,061 : x
2. Step 2: Convert to fraction form
   37,219/53,061 = 53,061/x
3. Step 3: Cross multiply
   37,219x = 53,061 × 53,061
4. Step 4: Simplify right side
   37,219x = 2,815,469,721
5. Step 5: Solve for x
   x = 2,815,469,721/37,219
6. Step 6: Final answer
   x = 75,646.03