Finding the Third Proportional to 37,276 and 55,408

Step by Step Solution

1. Step 1: Write the proportion equation
   37,276 : 55,408 = 55,408 : x
2. Step 2: Convert to fraction form
   37,276/55,408 = 55,408/x
3. Step 3: Cross multiply
   37,276x = 55,408 × 55,408
4. Step 4: Simplify right side
   37,276x = 3,070,046,464
5. Step 5: Solve for x
   x = 3,070,046,464/37,276
6. Step 6: Final answer
   x = 82,359.87