Finding the Third Proportional to 30,205 and 64,784

Step by Step Solution

1. Step 1: Write the proportion equation
   30,205 : 64,784 = 64,784 : x
2. Step 2: Convert to fraction form
   30,205/64,784 = 64,784/x
3. Step 3: Cross multiply
   30,205x = 64,784 × 64,784
4. Step 4: Simplify right side
   30,205x = 4,196,966,656
5. Step 5: Solve for x
   x = 4,196,966,656/30,205
6. Step 6: Final answer
   x = 138,949.40