Finding the Third Proportional to 37,060 and 82,408

Step by Step Solution

1. Step 1: Write the proportion equation
   37,060 : 82,408 = 82,408 : x
2. Step 2: Convert to fraction form
   37,060/82,408 = 82,408/x
3. Step 3: Cross multiply
   37,060x = 82,408 × 82,408
4. Step 4: Simplify right side
   37,060x = 6,791,078,464
5. Step 5: Solve for x
   x = 6,791,078,464/37,060
6. Step 6: Final answer
   x = 183,245.51