Finding the Third Proportional to 35,748 and 76,950

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 76,950 = 76,950 : x
2. Step 2: Convert to fraction form
   35,748/76,950 = 76,950/x
3. Step 3: Cross multiply
   35,748x = 76,950 × 76,950
4. Step 4: Simplify right side
   35,748x = 5,921,302,500
5. Step 5: Solve for x
   x = 5,921,302,500/35,748
6. Step 6: Final answer
   x = 165,640.11