Finding the Third Proportional to 37,206 and 87,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,206 : 87,811.50 = 87,811.50 : x
2. Step 2: Convert to fraction form
   37,206/87,811.50 = 87,811.50/x
3. Step 3: Cross multiply
   37,206x = 87,811.50 × 87,811.50
4. Step 4: Simplify right side
   37,206x = 7,710,859,532.25
5. Step 5: Solve for x
   x = 7,710,859,532.25/37,206
6. Step 6: Final answer
   x = 207,247.74