Finding the Third Proportional to 30,413 and 65,354

Step by Step Solution

1. Step 1: Write the proportion equation
   30,413 : 65,354 = 65,354 : x
2. Step 2: Convert to fraction form
   30,413/65,354 = 65,354/x
3. Step 3: Cross multiply
   30,413x = 65,354 × 65,354
4. Step 4: Simplify right side
   30,413x = 4,271,145,316
5. Step 5: Solve for x
   x = 4,271,145,316/30,413
6. Step 6: Final answer
   x = 140,438.15