Finding the Third Proportional to 29,712.50 and 65,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   29,712.50 : 65,256.25 = 65,256.25 : x
2. Step 2: Convert to fraction form
   29,712.50/65,256.25 = 65,256.25/x
3. Step 3: Cross multiply
   29,712.50x = 65,256.25 × 65,256.25
4. Step 4: Simplify right side
   29,712.50x = 4,258,378,164.06
5. Step 5: Solve for x
   x = 4,258,378,164.06/29,712.50
6. Step 6: Final answer
   x = 143,319.42