Finding the Third Proportional to 35,752.50 and 78,669

Step by Step Solution

1. Step 1: Write the proportion equation
   35,752.50 : 78,669 = 78,669 : x
2. Step 2: Convert to fraction form
   35,752.50/78,669 = 78,669/x
3. Step 3: Cross multiply
   35,752.50x = 78,669 × 78,669
4. Step 4: Simplify right side
   35,752.50x = 6,188,811,561
5. Step 5: Solve for x
   x = 6,188,811,561/35,752.50
6. Step 6: Final answer
   x = 173,101.51