Finding the Third Proportional to 29,488 and 65,564

Step by Step Solution

1. Step 1: Write the proportion equation
   29,488 : 65,564 = 65,564 : x
2. Step 2: Convert to fraction form
   29,488/65,564 = 65,564/x
3. Step 3: Cross multiply
   29,488x = 65,564 × 65,564
4. Step 4: Simplify right side
   29,488x = 4,298,638,096
5. Step 5: Solve for x
   x = 4,298,638,096/29,488
6. Step 6: Final answer
   x = 145,775.84