Finding the Third Proportional to 39,294 and 80,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,294 : 80,403.50 = 80,403.50 : x
2. Step 2: Convert to fraction form
   39,294/80,403.50 = 80,403.50/x
3. Step 3: Cross multiply
   39,294x = 80,403.50 × 80,403.50
4. Step 4: Simplify right side
   39,294x = 6,464,722,812.25
5. Step 5: Solve for x
   x = 6,464,722,812.25/39,294
6. Step 6: Final answer
   x = 164,521.88