Finding the Third Proportional to 22,588 and 35,132

Step by Step Solution

1. Step 1: Write the proportion equation
   22,588 : 35,132 = 35,132 : x
2. Step 2: Convert to fraction form
   22,588/35,132 = 35,132/x
3. Step 3: Cross multiply
   22,588x = 35,132 × 35,132
4. Step 4: Simplify right side
   22,588x = 1,234,257,424
5. Step 5: Solve for x
   x = 1,234,257,424/22,588
6. Step 6: Final answer
   x = 54,642.17