Finding the Third Proportional to 30,213 and 64,801

Step by Step Solution

1. Step 1: Write the proportion equation
   30,213 : 64,801 = 64,801 : x
2. Step 2: Convert to fraction form
   30,213/64,801 = 64,801/x
3. Step 3: Cross multiply
   30,213x = 64,801 × 64,801
4. Step 4: Simplify right side
   30,213x = 4,199,169,601
5. Step 5: Solve for x
   x = 4,199,169,601/30,213
6. Step 6: Final answer
   x = 138,985.52