Finding the Third Proportional to 37,478 and 55,644

Step by Step Solution

1. Step 1: Write the proportion equation
   37,478 : 55,644 = 55,644 : x
2. Step 2: Convert to fraction form
   37,478/55,644 = 55,644/x
3. Step 3: Cross multiply
   37,478x = 55,644 × 55,644
4. Step 4: Simplify right side
   37,478x = 3,096,254,736
5. Step 5: Solve for x
   x = 3,096,254,736/37,478
6. Step 6: Final answer
   x = 82,615.26