Finding the Third Proportional to 19,706 and 29,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,706 : 29,563.50 = 29,563.50 : x
2. Step 2: Convert to fraction form
   19,706/29,563.50 = 29,563.50/x
3. Step 3: Cross multiply
   19,706x = 29,563.50 × 29,563.50
4. Step 4: Simplify right side
   19,706x = 874,000,532.25
5. Step 5: Solve for x
   x = 874,000,532.25/19,706
6. Step 6: Final answer
   x = 44,352.00