Finding the Third Proportional to 53,281 and 82,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,281 : 82,783.50 = 82,783.50 : x
2. Step 2: Convert to fraction form
   53,281/82,783.50 = 82,783.50/x
3. Step 3: Cross multiply
   53,281x = 82,783.50 × 82,783.50
4. Step 4: Simplify right side
   53,281x = 6,853,107,872.25
5. Step 5: Solve for x
   x = 6,853,107,872.25/53,281
6. Step 6: Final answer
   x = 128,621.98