Finding the Third Proportional to 29,588 and 64,360

Step by Step Solution

1. Step 1: Write the proportion equation
   29,588 : 64,360 = 64,360 : x
2. Step 2: Convert to fraction form
   29,588/64,360 = 64,360/x
3. Step 3: Cross multiply
   29,588x = 64,360 × 64,360
4. Step 4: Simplify right side
   29,588x = 4,142,209,600
5. Step 5: Solve for x
   x = 4,142,209,600/29,588
6. Step 6: Final answer
   x = 139,996.27