Finding the Third Proportional to 37,794 and 83,118

Step by Step Solution

1. Step 1: Write the proportion equation
   37,794 : 83,118 = 83,118 : x
2. Step 2: Convert to fraction form
   37,794/83,118 = 83,118/x
3. Step 3: Cross multiply
   37,794x = 83,118 × 83,118
4. Step 4: Simplify right side
   37,794x = 6,908,601,924
5. Step 5: Solve for x
   x = 6,908,601,924/37,794
6. Step 6: Final answer
   x = 182,796.26