Finding the Third Proportional to 35,784 and 83,184

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784 : 83,184 = 83,184 : x
2. Step 2: Convert to fraction form
   35,784/83,184 = 83,184/x
3. Step 3: Cross multiply
   35,784x = 83,184 × 83,184
4. Step 4: Simplify right side
   35,784x = 6,919,577,856
5. Step 5: Solve for x
   x = 6,919,577,856/35,784
6. Step 6: Final answer
   x = 193,370.72