Finding the Third Proportional to 15,768 and 33,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,768 : 33,622.50 = 33,622.50 : x
2. Step 2: Convert to fraction form
   15,768/33,622.50 = 33,622.50/x
3. Step 3: Cross multiply
   15,768x = 33,622.50 × 33,622.50
4. Step 4: Simplify right side
   15,768x = 1,130,472,506.25
5. Step 5: Solve for x
   x = 1,130,472,506.25/15,768
6. Step 6: Final answer
   x = 71,694.10