Finding the Third Proportional to 29,996 and 65,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,996 : 65,642.50 = 65,642.50 : x
2. Step 2: Convert to fraction form
   29,996/65,642.50 = 65,642.50/x
3. Step 3: Cross multiply
   29,996x = 65,642.50 × 65,642.50
4. Step 4: Simplify right side
   29,996x = 4,308,937,806.25
5. Step 5: Solve for x
   x = 4,308,937,806.25/29,996
6. Step 6: Final answer
   x = 143,650.41