Finding the Third Proportional to 34,784 and 52,336

Step by Step Solution

1. Step 1: Write the proportion equation
   34,784 : 52,336 = 52,336 : x
2. Step 2: Convert to fraction form
   34,784/52,336 = 52,336/x
3. Step 3: Cross multiply
   34,784x = 52,336 × 52,336
4. Step 4: Simplify right side
   34,784x = 2,739,056,896
5. Step 5: Solve for x
   x = 2,739,056,896/34,784
6. Step 6: Final answer
   x = 78,744.74