Finding the Third Proportional to 32,768 and 70,784

Step by Step Solution

1. Step 1: Write the proportion equation
   32,768 : 70,784 = 70,784 : x
2. Step 2: Convert to fraction form
   32,768/70,784 = 70,784/x
3. Step 3: Cross multiply
   32,768x = 70,784 × 70,784
4. Step 4: Simplify right side
   32,768x = 5,010,374,656
5. Step 5: Solve for x
   x = 5,010,374,656/32,768
6. Step 6: Final answer
   x = 152,904.50