Finding the Third Proportional to 37,096 and 87,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096 : 87,512.50 = 87,512.50 : x
2. Step 2: Convert to fraction form
   37,096/87,512.50 = 87,512.50/x
3. Step 3: Cross multiply
   37,096x = 87,512.50 × 87,512.50
4. Step 4: Simplify right side
   37,096x = 7,658,437,656.25
5. Step 5: Solve for x
   x = 7,658,437,656.25/37,096
6. Step 6: Final answer
   x = 206,449.15