Finding the Third Proportional to 37,166 and 81,032

Step by Step Solution

1. Step 1: Write the proportion equation
   37,166 : 81,032 = 81,032 : x
2. Step 2: Convert to fraction form
   37,166/81,032 = 81,032/x
3. Step 3: Cross multiply
   37,166x = 81,032 × 81,032
4. Step 4: Simplify right side
   37,166x = 6,566,185,024
5. Step 5: Solve for x
   x = 6,566,185,024/37,166
6. Step 6: Final answer
   x = 176,671.82