Finding the Third Proportional to 37,665 and 81,810

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 81,810 = 81,810 : x
2. Step 2: Convert to fraction form
   37,665/81,810 = 81,810/x
3. Step 3: Cross multiply
   37,665x = 81,810 × 81,810
4. Step 4: Simplify right side
   37,665x = 6,692,876,100
5. Step 5: Solve for x
   x = 6,692,876,100/37,665
6. Step 6: Final answer
   x = 177,694.84