Finding the Third Proportional to 35,205 and 77,250

Step by Step Solution

1. Step 1: Write the proportion equation
   35,205 : 77,250 = 77,250 : x
2. Step 2: Convert to fraction form
   35,205/77,250 = 77,250/x
3. Step 3: Cross multiply
   35,205x = 77,250 × 77,250
4. Step 4: Simplify right side
   35,205x = 5,967,562,500
5. Step 5: Solve for x
   x = 5,967,562,500/35,205
6. Step 6: Final answer
   x = 169,508.95