Finding the Third Proportional to 28,186 and 37,967

Step by Step Solution

1. Step 1: Write the proportion equation
   28,186 : 37,967 = 37,967 : x
2. Step 2: Convert to fraction form
   28,186/37,967 = 37,967/x
3. Step 3: Cross multiply
   28,186x = 37,967 × 37,967
4. Step 4: Simplify right side
   28,186x = 1,441,493,089
5. Step 5: Solve for x
   x = 1,441,493,089/28,186
6. Step 6: Final answer
   x = 51,142.17