Finding the Third Proportional to 53,695 and 82,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,695 : 82,405.50 = 82,405.50 : x
2. Step 2: Convert to fraction form
   53,695/82,405.50 = 82,405.50/x
3. Step 3: Cross multiply
   53,695x = 82,405.50 × 82,405.50
4. Step 4: Simplify right side
   53,695x = 6,790,666,430.25
5. Step 5: Solve for x
   x = 6,790,666,430.25/53,695
6. Step 6: Final answer
   x = 126,467.39