Finding the Third Proportional to 7,762.50 and 17,033.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.50 : 17,033.63 = 17,033.63 : x
2. Step 2: Convert to fraction form
   7,762.50/17,033.63 = 17,033.63/x
3. Step 3: Cross multiply
   7,762.50x = 17,033.63 × 17,033.63
4. Step 4: Simplify right side
   7,762.50x = 290,144,380.64
5. Step 5: Solve for x
   x = 290,144,380.64/7,762.50
6. Step 6: Final answer
   x = 37,377.70