Finding the Third Proportional to 34,944 and 76,032

Step by Step Solution

1. Step 1: Write the proportion equation
   34,944 : 76,032 = 76,032 : x
2. Step 2: Convert to fraction form
   34,944/76,032 = 76,032/x
3. Step 3: Cross multiply
   34,944x = 76,032 × 76,032
4. Step 4: Simplify right side
   34,944x = 5,780,865,024
5. Step 5: Solve for x
   x = 5,780,865,024/34,944
6. Step 6: Final answer
   x = 165,432.26