Finding the Third Proportional to 35,345.50 and 76,827

Step by Step Solution

1. Step 1: Write the proportion equation
   35,345.50 : 76,827 = 76,827 : x
2. Step 2: Convert to fraction form
   35,345.50/76,827 = 76,827/x
3. Step 3: Cross multiply
   35,345.50x = 76,827 × 76,827
4. Step 4: Simplify right side
   35,345.50x = 5,902,387,929
5. Step 5: Solve for x
   x = 5,902,387,929/35,345.50
6. Step 6: Final answer
   x = 166,991.21