Finding the Third Proportional to 53,511 and 82,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,511 : 82,808.50 = 82,808.50 : x
2. Step 2: Convert to fraction form
   53,511/82,808.50 = 82,808.50/x
3. Step 3: Cross multiply
   53,511x = 82,808.50 × 82,808.50
4. Step 4: Simplify right side
   53,511x = 6,857,247,672.25
5. Step 5: Solve for x
   x = 6,857,247,672.25/53,511
6. Step 6: Final answer
   x = 128,146.51