Finding the Third Proportional to 61,303.50 and 82,382.06

Step by Step Solution

1. Step 1: Write the proportion equation
   61,303.50 : 82,382.06 = 82,382.06 : x
2. Step 2: Convert to fraction form
   61,303.50/82,382.06 = 82,382.06/x
3. Step 3: Cross multiply
   61,303.50x = 82,382.06 × 82,382.06
4. Step 4: Simplify right side
   61,303.50x = 6,786,804,221.75
5. Step 5: Solve for x
   x = 6,786,804,221.75/61,303.50
6. Step 6: Final answer
   x = 110,708.27