Finding the Third Proportional to 37,545 and 81,622

Step by Step Solution

1. Step 1: Write the proportion equation
   37,545 : 81,622 = 81,622 : x
2. Step 2: Convert to fraction form
   37,545/81,622 = 81,622/x
3. Step 3: Cross multiply
   37,545x = 81,622 × 81,622
4. Step 4: Simplify right side
   37,545x = 6,662,150,884
5. Step 5: Solve for x
   x = 6,662,150,884/37,545
6. Step 6: Final answer
   x = 177,444.42