Finding the Third Proportional to 14,588 and 35,012

Step by Step Solution

1. Step 1: Write the proportion equation
   14,588 : 35,012 = 35,012 : x
2. Step 2: Convert to fraction form
   14,588/35,012 = 35,012/x
3. Step 3: Cross multiply
   14,588x = 35,012 × 35,012
4. Step 4: Simplify right side
   14,588x = 1,225,840,144
5. Step 5: Solve for x
   x = 1,225,840,144/14,588
6. Step 6: Final answer
   x = 84,030.72