Finding the Third Proportional to 48,496 and 72,784

Step by Step Solution

1. Step 1: Write the proportion equation
   48,496 : 72,784 = 72,784 : x
2. Step 2: Convert to fraction form
   48,496/72,784 = 72,784/x
3. Step 3: Cross multiply
   48,496x = 72,784 × 72,784
4. Step 4: Simplify right side
   48,496x = 5,297,510,656
5. Step 5: Solve for x
   x = 5,297,510,656/48,496
6. Step 6: Final answer
   x = 109,236.03