Finding the Third Proportional to 34,042 and 51,784

Step by Step Solution

1. Step 1: Write the proportion equation
   34,042 : 51,784 = 51,784 : x
2. Step 2: Convert to fraction form
   34,042/51,784 = 51,784/x
3. Step 3: Cross multiply
   34,042x = 51,784 × 51,784
4. Step 4: Simplify right side
   34,042x = 2,681,582,656
5. Step 5: Solve for x
   x = 2,681,582,656/34,042
6. Step 6: Final answer
   x = 78,772.77