Finding the Third Proportional to 32,757 and 78,003

Step by Step Solution

1. Step 1: Write the proportion equation
   32,757 : 78,003 = 78,003 : x
2. Step 2: Convert to fraction form
   32,757/78,003 = 78,003/x
3. Step 3: Cross multiply
   32,757x = 78,003 × 78,003
4. Step 4: Simplify right side
   32,757x = 6,084,468,009
5. Step 5: Solve for x
   x = 6,084,468,009/32,757
6. Step 6: Final answer
   x = 185,745.58