Finding the Third Proportional to 13,402 and 23,780

Step by Step Solution

1. Step 1: Write the proportion equation
   13,402 : 23,780 = 23,780 : x
2. Step 2: Convert to fraction form
   13,402/23,780 = 23,780/x
3. Step 3: Cross multiply
   13,402x = 23,780 × 23,780
4. Step 4: Simplify right side
   13,402x = 565,488,400
5. Step 5: Solve for x
   x = 565,488,400/13,402
6. Step 6: Final answer
   x = 42,194.33