Finding the Third Proportional to 34,666 and 53,468

Step by Step Solution

1. Step 1: Write the proportion equation
   34,666 : 53,468 = 53,468 : x
2. Step 2: Convert to fraction form
   34,666/53,468 = 53,468/x
3. Step 3: Cross multiply
   34,666x = 53,468 × 53,468
4. Step 4: Simplify right side
   34,666x = 2,858,827,024
5. Step 5: Solve for x
   x = 2,858,827,024/34,666
6. Step 6: Final answer
   x = 82,467.75