Finding the Third Proportional to 6,598 and 12,370

Step by Step Solution

1. Step 1: Write the proportion equation
   6,598 : 12,370 = 12,370 : x
2. Step 2: Convert to fraction form
   6,598/12,370 = 12,370/x
3. Step 3: Cross multiply
   6,598x = 12,370 × 12,370
4. Step 4: Simplify right side
   6,598x = 153,016,900
5. Step 5: Solve for x
   x = 153,016,900/6,598
6. Step 6: Final answer
   x = 23,191.41