Finding the Third Proportional to 30,886 and 72,167

Step by Step Solution

1. Step 1: Write the proportion equation
   30,886 : 72,167 = 72,167 : x
2. Step 2: Convert to fraction form
   30,886/72,167 = 72,167/x
3. Step 3: Cross multiply
   30,886x = 72,167 × 72,167
4. Step 4: Simplify right side
   30,886x = 5,208,075,889
5. Step 5: Solve for x
   x = 5,208,075,889/30,886
6. Step 6: Final answer
   x = 168,622.54