Finding the Third Proportional to 61,191 and 82,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,191 : 82,348.50 = 82,348.50 : x
2. Step 2: Convert to fraction form
   61,191/82,348.50 = 82,348.50/x
3. Step 3: Cross multiply
   61,191x = 82,348.50 × 82,348.50
4. Step 4: Simplify right side
   61,191x = 6,781,275,452.25
5. Step 5: Solve for x
   x = 6,781,275,452.25/61,191
6. Step 6: Final answer
   x = 110,821.45