Finding the Third Proportional to 32,620 and 62,648

Step by Step Solution

1. Step 1: Write the proportion equation
   32,620 : 62,648 = 62,648 : x
2. Step 2: Convert to fraction form
   32,620/62,648 = 62,648/x
3. Step 3: Cross multiply
   32,620x = 62,648 × 62,648
4. Step 4: Simplify right side
   32,620x = 3,924,771,904
5. Step 5: Solve for x
   x = 3,924,771,904/32,620
6. Step 6: Final answer
   x = 120,317.96