Finding the Third Proportional to 37,730 and 85,189

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 85,189 = 85,189 : x
2. Step 2: Convert to fraction form
   37,730/85,189 = 85,189/x
3. Step 3: Cross multiply
   37,730x = 85,189 × 85,189
4. Step 4: Simplify right side
   37,730x = 7,257,165,721
5. Step 5: Solve for x
   x = 7,257,165,721/37,730
6. Step 6: Final answer
   x = 192,344.71