Finding the Third Proportional to 30,146 and 64,180

Step by Step Solution

1. Step 1: Write the proportion equation
   30,146 : 64,180 = 64,180 : x
2. Step 2: Convert to fraction form
   30,146/64,180 = 64,180/x
3. Step 3: Cross multiply
   30,146x = 64,180 × 64,180
4. Step 4: Simplify right side
   30,146x = 4,119,072,400
5. Step 5: Solve for x
   x = 4,119,072,400/30,146
6. Step 6: Final answer
   x = 136,637.44