Finding the Third Proportional to 37,752 and 102,697

Step by Step Solution

1. Step 1: Write the proportion equation
   37,752 : 102,697 = 102,697 : x
2. Step 2: Convert to fraction form
   37,752/102,697 = 102,697/x
3. Step 3: Cross multiply
   37,752x = 102,697 × 102,697
4. Step 4: Simplify right side
   37,752x = 10,546,673,809
5. Step 5: Solve for x
   x = 10,546,673,809/37,752
6. Step 6: Final answer
   x = 279,367.29