Finding the Third Proportional to 37,197 and 57,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,197 : 57,199.50 = 57,199.50 : x
2. Step 2: Convert to fraction form
   37,197/57,199.50 = 57,199.50/x
3. Step 3: Cross multiply
   37,197x = 57,199.50 × 57,199.50
4. Step 4: Simplify right side
   37,197x = 3,271,782,800.25
5. Step 5: Solve for x
   x = 3,271,782,800.25/37,197
6. Step 6: Final answer
   x = 87,958.24