Finding the Third Proportional to 6,830 and 14,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830 : 14,997.50 = 14,997.50 : x
2. Step 2: Convert to fraction form
   6,830/14,997.50 = 14,997.50/x
3. Step 3: Cross multiply
   6,830x = 14,997.50 × 14,997.50
4. Step 4: Simplify right side
   6,830x = 224,925,006.25
5. Step 5: Solve for x
   x = 224,925,006.25/6,830
6. Step 6: Final answer
   x = 32,931.92