Finding the Third Proportional to 37,521 and 82,010

Step by Step Solution

1. Step 1: Write the proportion equation
   37,521 : 82,010 = 82,010 : x
2. Step 2: Convert to fraction form
   37,521/82,010 = 82,010/x
3. Step 3: Cross multiply
   37,521x = 82,010 × 82,010
4. Step 4: Simplify right side
   37,521x = 6,725,640,100
5. Step 5: Solve for x
   x = 6,725,640,100/37,521
6. Step 6: Final answer
   x = 179,250.02