Finding the Third Proportional to 37,828 and 55,646

Step by Step Solution

1. Step 1: Write the proportion equation
   37,828 : 55,646 = 55,646 : x
2. Step 2: Convert to fraction form
   37,828/55,646 = 55,646/x
3. Step 3: Cross multiply
   37,828x = 55,646 × 55,646
4. Step 4: Simplify right side
   37,828x = 3,096,477,316
5. Step 5: Solve for x
   x = 3,096,477,316/37,828
6. Step 6: Final answer
   x = 81,856.75