Finding the Third Proportional to 30,565 and 64,456

Step by Step Solution

1. Step 1: Write the proportion equation
   30,565 : 64,456 = 64,456 : x
2. Step 2: Convert to fraction form
   30,565/64,456 = 64,456/x
3. Step 3: Cross multiply
   30,565x = 64,456 × 64,456
4. Step 4: Simplify right side
   30,565x = 4,154,575,936
5. Step 5: Solve for x
   x = 4,154,575,936/30,565
6. Step 6: Final answer
   x = 135,925.93