Finding the Third Proportional to 30,645 and 64,381

Step by Step Solution

1. Step 1: Write the proportion equation
   30,645 : 64,381 = 64,381 : x
2. Step 2: Convert to fraction form
   30,645/64,381 = 64,381/x
3. Step 3: Cross multiply
   30,645x = 64,381 × 64,381
4. Step 4: Simplify right side
   30,645x = 4,144,913,161
5. Step 5: Solve for x
   x = 4,144,913,161/30,645
6. Step 6: Final answer
   x = 135,255.77