Finding the Third Proportional to 29,756.25 and 65,223

Step by Step Solution

1. Step 1: Write the proportion equation
   29,756.25 : 65,223 = 65,223 : x
2. Step 2: Convert to fraction form
   29,756.25/65,223 = 65,223/x
3. Step 3: Cross multiply
   29,756.25x = 65,223 × 65,223
4. Step 4: Simplify right side
   29,756.25x = 4,254,039,729
5. Step 5: Solve for x
   x = 4,254,039,729/29,756.25
6. Step 6: Final answer
   x = 142,962.90