Finding the Third Proportional to 35,148 and 76,608

Step by Step Solution

1. Step 1: Write the proportion equation
   35,148 : 76,608 = 76,608 : x
2. Step 2: Convert to fraction form
   35,148/76,608 = 76,608/x
3. Step 3: Cross multiply
   35,148x = 76,608 × 76,608
4. Step 4: Simplify right side
   35,148x = 5,868,785,664
5. Step 5: Solve for x
   x = 5,868,785,664/35,148
6. Step 6: Final answer
   x = 166,973.53