Finding the Third Proportional to 37,681 and 81,916

Step by Step Solution

1. Step 1: Write the proportion equation
   37,681 : 81,916 = 81,916 : x
2. Step 2: Convert to fraction form
   37,681/81,916 = 81,916/x
3. Step 3: Cross multiply
   37,681x = 81,916 × 81,916
4. Step 4: Simplify right side
   37,681x = 6,710,231,056
5. Step 5: Solve for x
   x = 6,710,231,056/37,681
6. Step 6: Final answer
   x = 178,079.96