Finding the Third Proportional to 30,567 and 64,461

Step by Step Solution

1. Step 1: Write the proportion equation
   30,567 : 64,461 = 64,461 : x
2. Step 2: Convert to fraction form
   30,567/64,461 = 64,461/x
3. Step 3: Cross multiply
   30,567x = 64,461 × 64,461
4. Step 4: Simplify right side
   30,567x = 4,155,220,521
5. Step 5: Solve for x
   x = 4,155,220,521/30,567
6. Step 6: Final answer
   x = 135,938.12