Finding the Third Proportional to 36,426 and 76,146

Step by Step Solution

1. Step 1: Write the proportion equation
   36,426 : 76,146 = 76,146 : x
2. Step 2: Convert to fraction form
   36,426/76,146 = 76,146/x
3. Step 3: Cross multiply
   36,426x = 76,146 × 76,146
4. Step 4: Simplify right side
   36,426x = 5,798,213,316
5. Step 5: Solve for x
   x = 5,798,213,316/36,426
6. Step 6: Final answer
   x = 159,177.88