Finding the Third Proportional to 37,411 and 80,010

Step by Step Solution

1. Step 1: Write the proportion equation
   37,411 : 80,010 = 80,010 : x
2. Step 2: Convert to fraction form
   37,411/80,010 = 80,010/x
3. Step 3: Cross multiply
   37,411x = 80,010 × 80,010
4. Step 4: Simplify right side
   37,411x = 6,401,600,100
5. Step 5: Solve for x
   x = 6,401,600,100/37,411
6. Step 6: Final answer
   x = 171,115.45