Finding the Third Proportional to 37,103.50 and 82,210

Step by Step Solution

1. Step 1: Write the proportion equation
   37,103.50 : 82,210 = 82,210 : x
2. Step 2: Convert to fraction form
   37,103.50/82,210 = 82,210/x
3. Step 3: Cross multiply
   37,103.50x = 82,210 × 82,210
4. Step 4: Simplify right side
   37,103.50x = 6,758,484,100
5. Step 5: Solve for x
   x = 6,758,484,100/37,103.50
6. Step 6: Final answer
   x = 182,152.20