Finding the Third Proportional to 34,008 and 74,496

Step by Step Solution

1. Step 1: Write the proportion equation
   34,008 : 74,496 = 74,496 : x
2. Step 2: Convert to fraction form
   34,008/74,496 = 74,496/x
3. Step 3: Cross multiply
   34,008x = 74,496 × 74,496
4. Step 4: Simplify right side
   34,008x = 5,549,654,016
5. Step 5: Solve for x
   x = 5,549,654,016/34,008
6. Step 6: Final answer
   x = 163,186.72