Finding the Third Proportional to 37,050 and 87,406

Step by Step Solution

1. Step 1: Write the proportion equation
   37,050 : 87,406 = 87,406 : x
2. Step 2: Convert to fraction form
   37,050/87,406 = 87,406/x
3. Step 3: Cross multiply
   37,050x = 87,406 × 87,406
4. Step 4: Simplify right side
   37,050x = 7,639,808,836
5. Step 5: Solve for x
   x = 7,639,808,836/37,050
6. Step 6: Final answer
   x = 206,202.67