Finding the Third Proportional to 35,596.50 and 51,558.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,596.50 : 51,558.75 = 51,558.75 : x
2. Step 2: Convert to fraction form
   35,596.50/51,558.75 = 51,558.75/x
3. Step 3: Cross multiply
   35,596.50x = 51,558.75 × 51,558.75
4. Step 4: Simplify right side
   35,596.50x = 2,658,304,701.56
5. Step 5: Solve for x
   x = 2,658,304,701.56/35,596.50
6. Step 6: Final answer
   x = 74,678.82