Finding the Third Proportional to 34,784 and 76,132

Step by Step Solution

1. Step 1: Write the proportion equation
   34,784 : 76,132 = 76,132 : x
2. Step 2: Convert to fraction form
   34,784/76,132 = 76,132/x
3. Step 3: Cross multiply
   34,784x = 76,132 × 76,132
4. Step 4: Simplify right side
   34,784x = 5,796,081,424
5. Step 5: Solve for x
   x = 5,796,081,424/34,784
6. Step 6: Final answer
   x = 166,630.68