Finding the Third Proportional to 42,536.50 and 65,291.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,536.50 : 65,291.75 = 65,291.75 : x
2. Step 2: Convert to fraction form
   42,536.50/65,291.75 = 65,291.75/x
3. Step 3: Cross multiply
   42,536.50x = 65,291.75 × 65,291.75
4. Step 4: Simplify right side
   42,536.50x = 4,263,012,618.06
5. Step 5: Solve for x
   x = 4,263,012,618.06/42,536.50
6. Step 6: Final answer
   x = 100,220.11