Finding the Third Proportional to 34,972 and 76,172

Step by Step Solution

1. Step 1: Write the proportion equation
   34,972 : 76,172 = 76,172 : x
2. Step 2: Convert to fraction form
   34,972/76,172 = 76,172/x
3. Step 3: Cross multiply
   34,972x = 76,172 × 76,172
4. Step 4: Simplify right side
   34,972x = 5,802,173,584
5. Step 5: Solve for x
   x = 5,802,173,584/34,972
6. Step 6: Final answer
   x = 165,909.12