Finding the Third Proportional to 7,830 and 17,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 17,152.50 = 17,152.50 : x
2. Step 2: Convert to fraction form
   7,830/17,152.50 = 17,152.50/x
3. Step 3: Cross multiply
   7,830x = 17,152.50 × 17,152.50
4. Step 4: Simplify right side
   7,830x = 294,208,256.25
5. Step 5: Solve for x
   x = 294,208,256.25/7,830
6. Step 6: Final answer
   x = 37,574.49