Finding the Third Proportional to 29,752 and 65,254

Step by Step Solution

1. Step 1: Write the proportion equation
   29,752 : 65,254 = 65,254 : x
2. Step 2: Convert to fraction form
   29,752/65,254 = 65,254/x
3. Step 3: Cross multiply
   29,752x = 65,254 × 65,254
4. Step 4: Simplify right side
   29,752x = 4,258,084,516
5. Step 5: Solve for x
   x = 4,258,084,516/29,752
6. Step 6: Final answer
   x = 143,119.27