Finding the Third Proportional to 37,764 and 85,274

Step by Step Solution

1. Step 1: Write the proportion equation
   37,764 : 85,274 = 85,274 : x
2. Step 2: Convert to fraction form
   37,764/85,274 = 85,274/x
3. Step 3: Cross multiply
   37,764x = 85,274 × 85,274
4. Step 4: Simplify right side
   37,764x = 7,271,655,076
5. Step 5: Solve for x
   x = 7,271,655,076/37,764
6. Step 6: Final answer
   x = 192,555.21