Finding the Third Proportional to 37,625 and 80,146

Step by Step Solution

1. Step 1: Write the proportion equation
   37,625 : 80,146 = 80,146 : x
2. Step 2: Convert to fraction form
   37,625/80,146 = 80,146/x
3. Step 3: Cross multiply
   37,625x = 80,146 × 80,146
4. Step 4: Simplify right side
   37,625x = 6,423,381,316
5. Step 5: Solve for x
   x = 6,423,381,316/37,625
6. Step 6: Final answer
   x = 170,721.10