Finding the Third Proportional to 35,844.19 and 83,716.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,844.19 : 83,716.88 = 83,716.88 : x
2. Step 2: Convert to fraction form
   35,844.19/83,716.88 = 83,716.88/x
3. Step 3: Cross multiply
   35,844.19x = 83,716.88 × 83,716.88
4. Step 4: Simplify right side
   35,844.19x = 7,008,515,159.77
5. Step 5: Solve for x
   x = 7,008,515,159.77/35,844.19
6. Step 6: Final answer
   x = 195,527.24