Finding the Third Proportional to 37,732 and 85,194

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732 : 85,194 = 85,194 : x
2. Step 2: Convert to fraction form
   37,732/85,194 = 85,194/x
3. Step 3: Cross multiply
   37,732x = 85,194 × 85,194
4. Step 4: Simplify right side
   37,732x = 7,258,017,636
5. Step 5: Solve for x
   x = 7,258,017,636/37,732
6. Step 6: Final answer
   x = 192,357.09