Finding the Third Proportional to 65,392 and 103,677

Step by Step Solution

1. Step 1: Write the proportion equation
   65,392 : 103,677 = 103,677 : x
2. Step 2: Convert to fraction form
   65,392/103,677 = 103,677/x
3. Step 3: Cross multiply
   65,392x = 103,677 × 103,677
4. Step 4: Simplify right side
   65,392x = 10,748,920,329
5. Step 5: Solve for x
   x = 10,748,920,329/65,392
6. Step 6: Final answer
   x = 164,376.69