Finding the Third Proportional to 29,916 and 65,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,916 : 65,758.50 = 65,758.50 : x
2. Step 2: Convert to fraction form
   29,916/65,758.50 = 65,758.50/x
3. Step 3: Cross multiply
   29,916x = 65,758.50 × 65,758.50
4. Step 4: Simplify right side
   29,916x = 4,324,180,322.25
5. Step 5: Solve for x
   x = 4,324,180,322.25/29,916
6. Step 6: Final answer
   x = 144,544.07