Finding the Third Proportional to 35,883.56 and 83,813.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,883.56 : 83,813.63 = 83,813.63 : x
2. Step 2: Convert to fraction form
   35,883.56/83,813.63 = 83,813.63/x
3. Step 3: Cross multiply
   35,883.56x = 83,813.63 × 83,813.63
4. Step 4: Simplify right side
   35,883.56x = 7,024,723,735.64
5. Step 5: Solve for x
   x = 7,024,723,735.64/35,883.56
6. Step 6: Final answer
   x = 195,764.39