Finding the Third Proportional to 12,300 and 19,539

Step by Step Solution

1. Step 1: Write the proportion equation
   12,300 : 19,539 = 19,539 : x
2. Step 2: Convert to fraction form
   12,300/19,539 = 19,539/x
3. Step 3: Cross multiply
   12,300x = 19,539 × 19,539
4. Step 4: Simplify right side
   12,300x = 381,772,521
5. Step 5: Solve for x
   x = 381,772,521/12,300
6. Step 6: Final answer
   x = 31,038.42