Finding the Third Proportional to 37,856.25 and 79,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,856.25 : 79,636.50 = 79,636.50 : x
2. Step 2: Convert to fraction form
   37,856.25/79,636.50 = 79,636.50/x
3. Step 3: Cross multiply
   37,856.25x = 79,636.50 × 79,636.50
4. Step 4: Simplify right side
   37,856.25x = 6,341,972,132.25
5. Step 5: Solve for x
   x = 6,341,972,132.25/37,856.25
6. Step 6: Final answer
   x = 167,527.74