Finding the Third Proportional to 37,036 and 79,892

Step by Step Solution

1. Step 1: Write the proportion equation
   37,036 : 79,892 = 79,892 : x
2. Step 2: Convert to fraction form
   37,036/79,892 = 79,892/x
3. Step 3: Cross multiply
   37,036x = 79,892 × 79,892
4. Step 4: Simplify right side
   37,036x = 6,382,731,664
5. Step 5: Solve for x
   x = 6,382,731,664/37,036
6. Step 6: Final answer
   x = 172,338.58