Finding the Third Proportional to 37,686 and 78,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,686 : 78,472.50 = 78,472.50 : x
2. Step 2: Convert to fraction form
   37,686/78,472.50 = 78,472.50/x
3. Step 3: Cross multiply
   37,686x = 78,472.50 × 78,472.50
4. Step 4: Simplify right side
   37,686x = 6,157,933,256.25
5. Step 5: Solve for x
   x = 6,157,933,256.25/37,686
6. Step 6: Final answer
   x = 163,401.08