Finding the Third Proportional to 37,540 and 81,570

Step by Step Solution

1. Step 1: Write the proportion equation
   37,540 : 81,570 = 81,570 : x
2. Step 2: Convert to fraction form
   37,540/81,570 = 81,570/x
3. Step 3: Cross multiply
   37,540x = 81,570 × 81,570
4. Step 4: Simplify right side
   37,540x = 6,653,664,900
5. Step 5: Solve for x
   x = 6,653,664,900/37,540
6. Step 6: Final answer
   x = 177,242.01