Finding the Third Proportional to 33,140 and 52,784

Step by Step Solution

1. Step 1: Write the proportion equation
   33,140 : 52,784 = 52,784 : x
2. Step 2: Convert to fraction form
   33,140/52,784 = 52,784/x
3. Step 3: Cross multiply
   33,140x = 52,784 × 52,784
4. Step 4: Simplify right side
   33,140x = 2,786,150,656
5. Step 5: Solve for x
   x = 2,786,150,656/33,140
6. Step 6: Final answer
   x = 84,072.14