Finding the Third Proportional to 35,164.50 and 76,929

Step by Step Solution

1. Step 1: Write the proportion equation
   35,164.50 : 76,929 = 76,929 : x
2. Step 2: Convert to fraction form
   35,164.50/76,929 = 76,929/x
3. Step 3: Cross multiply
   35,164.50x = 76,929 × 76,929
4. Step 4: Simplify right side
   35,164.50x = 5,918,071,041
5. Step 5: Solve for x
   x = 5,918,071,041/35,164.50
6. Step 6: Final answer
   x = 168,296.75