Finding the Third Proportional to 37,936 and 88,648

Step by Step Solution

1. Step 1: Write the proportion equation
   37,936 : 88,648 = 88,648 : x
2. Step 2: Convert to fraction form
   37,936/88,648 = 88,648/x
3. Step 3: Cross multiply
   37,936x = 88,648 × 88,648
4. Step 4: Simplify right side
   37,936x = 7,858,467,904
5. Step 5: Solve for x
   x = 7,858,467,904/37,936
6. Step 6: Final answer
   x = 207,150.67