Finding the Third Proportional to 37,002 and 80,916

Step by Step Solution

1. Step 1: Write the proportion equation
   37,002 : 80,916 = 80,916 : x
2. Step 2: Convert to fraction form
   37,002/80,916 = 80,916/x
3. Step 3: Cross multiply
   37,002x = 80,916 × 80,916
4. Step 4: Simplify right side
   37,002x = 6,547,399,056
5. Step 5: Solve for x
   x = 6,547,399,056/37,002
6. Step 6: Final answer
   x = 176,947.17