Finding the Third Proportional to 37,102 and 87,496

Step by Step Solution

1. Step 1: Write the proportion equation
   37,102 : 87,496 = 87,496 : x
2. Step 2: Convert to fraction form
   37,102/87,496 = 87,496/x
3. Step 3: Cross multiply
   37,102x = 87,496 × 87,496
4. Step 4: Simplify right side
   37,102x = 7,655,550,016
5. Step 5: Solve for x
   x = 7,655,550,016/37,102
6. Step 6: Final answer
   x = 206,337.93