Finding the Third Proportional to 30,194 and 71,046

Step by Step Solution

1. Step 1: Write the proportion equation
   30,194 : 71,046 = 71,046 : x
2. Step 2: Convert to fraction form
   30,194/71,046 = 71,046/x
3. Step 3: Cross multiply
   30,194x = 71,046 × 71,046
4. Step 4: Simplify right side
   30,194x = 5,047,534,116
5. Step 5: Solve for x
   x = 5,047,534,116/30,194
6. Step 6: Final answer
   x = 167,170.10