Finding the Third Proportional to 16,024.50 and 34,782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,024.50 : 34,782.75 = 34,782.75 : x
2. Step 2: Convert to fraction form
   16,024.50/34,782.75 = 34,782.75/x
3. Step 3: Cross multiply
   16,024.50x = 34,782.75 × 34,782.75
4. Step 4: Simplify right side
   16,024.50x = 1,209,839,697.56
5. Step 5: Solve for x
   x = 1,209,839,697.56/16,024.50
6. Step 6: Final answer
   x = 75,499.37