Finding the Third Proportional to 30,166 and 64,339

Step by Step Solution

1. Step 1: Write the proportion equation
   30,166 : 64,339 = 64,339 : x
2. Step 2: Convert to fraction form
   30,166/64,339 = 64,339/x
3. Step 3: Cross multiply
   30,166x = 64,339 × 64,339
4. Step 4: Simplify right side
   30,166x = 4,139,506,921
5. Step 5: Solve for x
   x = 4,139,506,921/30,166
6. Step 6: Final answer
   x = 137,224.26