Finding the Third Proportional to 37,226 and 81,146

Step by Step Solution

1. Step 1: Write the proportion equation
   37,226 : 81,146 = 81,146 : x
2. Step 2: Convert to fraction form
   37,226/81,146 = 81,146/x
3. Step 3: Cross multiply
   37,226x = 81,146 × 81,146
4. Step 4: Simplify right side
   37,226x = 6,584,673,316
5. Step 5: Solve for x
   x = 6,584,673,316/37,226
6. Step 6: Final answer
   x = 176,883.72