Finding the Third Proportional to 37,951 and 83,191

Step by Step Solution

1. Step 1: Write the proportion equation
   37,951 : 83,191 = 83,191 : x
2. Step 2: Convert to fraction form
   37,951/83,191 = 83,191/x
3. Step 3: Cross multiply
   37,951x = 83,191 × 83,191
4. Step 4: Simplify right side
   37,951x = 6,920,742,481
5. Step 5: Solve for x
   x = 6,920,742,481/37,951
6. Step 6: Final answer
   x = 182,359.95