Finding the Third Proportional to 38,162.25 and 77,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,162.25 : 77,359.50 = 77,359.50 : x
2. Step 2: Convert to fraction form
   38,162.25/77,359.50 = 77,359.50/x
3. Step 3: Cross multiply
   38,162.25x = 77,359.50 × 77,359.50
4. Step 4: Simplify right side
   38,162.25x = 5,984,492,240.25
5. Step 5: Solve for x
   x = 5,984,492,240.25/38,162.25
6. Step 6: Final answer
   x = 156,817.07