Finding the Third Proportional to 35,112 and 76,784

Step by Step Solution

1. Step 1: Write the proportion equation
   35,112 : 76,784 = 76,784 : x
2. Step 2: Convert to fraction form
   35,112/76,784 = 76,784/x
3. Step 3: Cross multiply
   35,112x = 76,784 × 76,784
4. Step 4: Simplify right side
   35,112x = 5,895,782,656
5. Step 5: Solve for x
   x = 5,895,782,656/35,112
6. Step 6: Final answer
   x = 167,913.61