Finding the Third Proportional to 12,907.50 and 19,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,907.50 : 19,732.50 = 19,732.50 : x
2. Step 2: Convert to fraction form
   12,907.50/19,732.50 = 19,732.50/x
3. Step 3: Cross multiply
   12,907.50x = 19,732.50 × 19,732.50
4. Step 4: Simplify right side
   12,907.50x = 389,371,556.25
5. Step 5: Solve for x
   x = 389,371,556.25/12,907.50
6. Step 6: Final answer
   x = 30,166.30