Finding the Third Proportional to 37,967 and 56,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,967 : 56,642 = 56,642 : x
2. Step 2: Convert to fraction form
   37,967/56,642 = 56,642/x
3. Step 3: Cross multiply
   37,967x = 56,642 × 56,642
4. Step 4: Simplify right side
   37,967x = 3,208,316,164
5. Step 5: Solve for x
   x = 3,208,316,164/37,967
6. Step 6: Final answer
   x = 84,502.76