Finding the Third Proportional to 34,464 and 71,488

Step by Step Solution

1. Step 1: Write the proportion equation
   34,464 : 71,488 = 71,488 : x
2. Step 2: Convert to fraction form
   34,464/71,488 = 71,488/x
3. Step 3: Cross multiply
   34,464x = 71,488 × 71,488
4. Step 4: Simplify right side
   34,464x = 5,110,534,144
5. Step 5: Solve for x
   x = 5,110,534,144/34,464
6. Step 6: Final answer
   x = 148,286.16