Finding the Third Proportional to 37,874 and 56,078

Step by Step Solution

1. Step 1: Write the proportion equation
   37,874 : 56,078 = 56,078 : x
2. Step 2: Convert to fraction form
   37,874/56,078 = 56,078/x
3. Step 3: Cross multiply
   37,874x = 56,078 × 56,078
4. Step 4: Simplify right side
   37,874x = 3,144,742,084
5. Step 5: Solve for x
   x = 3,144,742,084/37,874
6. Step 6: Final answer
   x = 83,031.69