Finding the Third Proportional to 37,566 and 87,350

Step by Step Solution

1. Step 1: Write the proportion equation
   37,566 : 87,350 = 87,350 : x
2. Step 2: Convert to fraction form
   37,566/87,350 = 87,350/x
3. Step 3: Cross multiply
   37,566x = 87,350 × 87,350
4. Step 4: Simplify right side
   37,566x = 7,630,022,500
5. Step 5: Solve for x
   x = 7,630,022,500/37,566
6. Step 6: Final answer
   x = 203,109.79