Finding the Third Proportional to 17,585 and 37,945

Step by Step Solution

1. Step 1: Write the proportion equation
   17,585 : 37,945 = 37,945 : x
2. Step 2: Convert to fraction form
   17,585/37,945 = 37,945/x
3. Step 3: Cross multiply
   17,585x = 37,945 × 37,945
4. Step 4: Simplify right side
   17,585x = 1,439,823,025
5. Step 5: Solve for x
   x = 1,439,823,025/17,585
6. Step 6: Final answer
   x = 81,877.91