Finding the Third Proportional to 38,300.25 and 82,749

Step by Step Solution

1. Step 1: Write the proportion equation
   38,300.25 : 82,749 = 82,749 : x
2. Step 2: Convert to fraction form
   38,300.25/82,749 = 82,749/x
3. Step 3: Cross multiply
   38,300.25x = 82,749 × 82,749
4. Step 4: Simplify right side
   38,300.25x = 6,847,397,001
5. Step 5: Solve for x
   x = 6,847,397,001/38,300.25
6. Step 6: Final answer
   x = 178,782.04