Finding the Third Proportional to 30,638.25 and 64,607.63

Step by Step Solution

1. Step 1: Write the proportion equation
   30,638.25 : 64,607.63 = 64,607.63 : x
2. Step 2: Convert to fraction form
   30,638.25/64,607.63 = 64,607.63/x
3. Step 3: Cross multiply
   30,638.25x = 64,607.63 × 64,607.63
4. Step 4: Simplify right side
   30,638.25x = 4,174,145,208.14
5. Step 5: Solve for x
   x = 4,174,145,208.14/30,638.25
6. Step 6: Final answer
   x = 136,239.67