Finding the Third Proportional to 65,402 and 103,692

Step by Step Solution

1. Step 1: Write the proportion equation
   65,402 : 103,692 = 103,692 : x
2. Step 2: Convert to fraction form
   65,402/103,692 = 103,692/x
3. Step 3: Cross multiply
   65,402x = 103,692 × 103,692
4. Step 4: Simplify right side
   65,402x = 10,752,030,864
5. Step 5: Solve for x
   x = 10,752,030,864/65,402
6. Step 6: Final answer
   x = 164,399.11