Finding the Third Proportional to 38,426.63 and 78,766.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,426.63 : 78,766.88 = 78,766.88 : x
2. Step 2: Convert to fraction form
   38,426.63/78,766.88 = 78,766.88/x
3. Step 3: Cross multiply
   38,426.63x = 78,766.88 × 78,766.88
4. Step 4: Simplify right side
   38,426.63x = 6,204,220,597.27
5. Step 5: Solve for x
   x = 6,204,220,597.27/38,426.63
6. Step 6: Final answer
   x = 161,456.30