Finding the Third Proportional to 37,066 and 81,054

Step by Step Solution

1. Step 1: Write the proportion equation
   37,066 : 81,054 = 81,054 : x
2. Step 2: Convert to fraction form
   37,066/81,054 = 81,054/x
3. Step 3: Cross multiply
   37,066x = 81,054 × 81,054
4. Step 4: Simplify right side
   37,066x = 6,569,750,916
5. Step 5: Solve for x
   x = 6,569,750,916/37,066
6. Step 6: Final answer
   x = 177,244.67