Finding the Third Proportional to 35,058 and 75,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,058 : 75,766.50 = 75,766.50 : x
2. Step 2: Convert to fraction form
   35,058/75,766.50 = 75,766.50/x
3. Step 3: Cross multiply
   35,058x = 75,766.50 × 75,766.50
4. Step 4: Simplify right side
   35,058x = 5,740,562,522.25
5. Step 5: Solve for x
   x = 5,740,562,522.25/35,058
6. Step 6: Final answer
   x = 163,744.72