Finding the Third Proportional to 37,019 and 56,448

Step by Step Solution

1. Step 1: Write the proportion equation
   37,019 : 56,448 = 56,448 : x
2. Step 2: Convert to fraction form
   37,019/56,448 = 56,448/x
3. Step 3: Cross multiply
   37,019x = 56,448 × 56,448
4. Step 4: Simplify right side
   37,019x = 3,186,376,704
5. Step 5: Solve for x
   x = 3,186,376,704/37,019
6. Step 6: Final answer
   x = 86,074.09