Finding the Third Proportional to 34,284 and 53,064

Step by Step Solution

1. Step 1: Write the proportion equation
   34,284 : 53,064 = 53,064 : x
2. Step 2: Convert to fraction form
   34,284/53,064 = 53,064/x
3. Step 3: Cross multiply
   34,284x = 53,064 × 53,064
4. Step 4: Simplify right side
   34,284x = 2,815,788,096
5. Step 5: Solve for x
   x = 2,815,788,096/34,284
6. Step 6: Final answer
   x = 82,131.26