Finding the Third Proportional to 53,817 and 82,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,817 : 82,996.50 = 82,996.50 : x
2. Step 2: Convert to fraction form
   53,817/82,996.50 = 82,996.50/x
3. Step 3: Cross multiply
   53,817x = 82,996.50 × 82,996.50
4. Step 4: Simplify right side
   53,817x = 6,888,419,012.25
5. Step 5: Solve for x
   x = 6,888,419,012.25/53,817
6. Step 6: Final answer
   x = 127,997.08