Finding the Third Proportional to 7,735.50 and 17,784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,735.50 : 17,784.56 = 17,784.56 : x
2. Step 2: Convert to fraction form
   7,735.50/17,784.56 = 17,784.56/x
3. Step 3: Cross multiply
   7,735.50x = 17,784.56 × 17,784.56
4. Step 4: Simplify right side
   7,735.50x = 316,290,663.32
5. Step 5: Solve for x
   x = 316,290,663.32/7,735.50
6. Step 6: Final answer
   x = 40,888.20