Finding the Third Proportional to 34,142 and 53,440

Step by Step Solution

1. Step 1: Write the proportion equation
   34,142 : 53,440 = 53,440 : x
2. Step 2: Convert to fraction form
   34,142/53,440 = 53,440/x
3. Step 3: Cross multiply
   34,142x = 53,440 × 53,440
4. Step 4: Simplify right side
   34,142x = 2,855,833,600
5. Step 5: Solve for x
   x = 2,855,833,600/34,142
6. Step 6: Final answer
   x = 83,645.76