Finding the Third Proportional to 13,072.50 and 19,730

Step by Step Solution

1. Step 1: Write the proportion equation
   13,072.50 : 19,730 = 19,730 : x
2. Step 2: Convert to fraction form
   13,072.50/19,730 = 19,730/x
3. Step 3: Cross multiply
   13,072.50x = 19,730 × 19,730
4. Step 4: Simplify right side
   13,072.50x = 389,272,900
5. Step 5: Solve for x
   x = 389,272,900/13,072.50
6. Step 6: Final answer
   x = 29,778.00