Finding the Third Proportional to 36,558 and 78,003

Step by Step Solution

1. Step 1: Write the proportion equation
   36,558 : 78,003 = 78,003 : x
2. Step 2: Convert to fraction form
   36,558/78,003 = 78,003/x
3. Step 3: Cross multiply
   36,558x = 78,003 × 78,003
4. Step 4: Simplify right side
   36,558x = 6,084,468,009
5. Step 5: Solve for x
   x = 6,084,468,009/36,558
6. Step 6: Final answer
   x = 166,433.28