Finding the Third Proportional to 37,748 and 82,960

Step by Step Solution

1. Step 1: Write the proportion equation
   37,748 : 82,960 = 82,960 : x
2. Step 2: Convert to fraction form
   37,748/82,960 = 82,960/x
3. Step 3: Cross multiply
   37,748x = 82,960 × 82,960
4. Step 4: Simplify right side
   37,748x = 6,882,361,600
5. Step 5: Solve for x
   x = 6,882,361,600/37,748
6. Step 6: Final answer
   x = 182,323.87