Finding the Third Proportional to 37,956 and 82,248

Step by Step Solution

1. Step 1: Write the proportion equation
   37,956 : 82,248 = 82,248 : x
2. Step 2: Convert to fraction form
   37,956/82,248 = 82,248/x
3. Step 3: Cross multiply
   37,956x = 82,248 × 82,248
4. Step 4: Simplify right side
   37,956x = 6,764,733,504
5. Step 5: Solve for x
   x = 6,764,733,504/37,956
6. Step 6: Final answer
   x = 178,225.67