Finding the Third Proportional to 37,964 and 80,815

Step by Step Solution

1. Step 1: Write the proportion equation
   37,964 : 80,815 = 80,815 : x
2. Step 2: Convert to fraction form
   37,964/80,815 = 80,815/x
3. Step 3: Cross multiply
   37,964x = 80,815 × 80,815
4. Step 4: Simplify right side
   37,964x = 6,531,064,225
5. Step 5: Solve for x
   x = 6,531,064,225/37,964
6. Step 6: Final answer
   x = 172,033.09