Finding the Third Proportional to 37,017 and 78,165

Step by Step Solution

1. Step 1: Write the proportion equation
   37,017 : 78,165 = 78,165 : x
2. Step 2: Convert to fraction form
   37,017/78,165 = 78,165/x
3. Step 3: Cross multiply
   37,017x = 78,165 × 78,165
4. Step 4: Simplify right side
   37,017x = 6,109,767,225
5. Step 5: Solve for x
   x = 6,109,767,225/37,017
6. Step 6: Final answer
   x = 165,053.01