Finding the Third Proportional to 37,279 and 55,411

Step by Step Solution

1. Step 1: Write the proportion equation
   37,279 : 55,411 = 55,411 : x
2. Step 2: Convert to fraction form
   37,279/55,411 = 55,411/x
3. Step 3: Cross multiply
   37,279x = 55,411 × 55,411
4. Step 4: Simplify right side
   37,279x = 3,070,378,921
5. Step 5: Solve for x
   x = 3,070,378,921/37,279
6. Step 6: Final answer
   x = 82,362.16