Finding the Third Proportional to 7,402.50 and 9,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,402.50 : 9,780.75 = 9,780.75 : x
2. Step 2: Convert to fraction form
   7,402.50/9,780.75 = 9,780.75/x
3. Step 3: Cross multiply
   7,402.50x = 9,780.75 × 9,780.75
4. Step 4: Simplify right side
   7,402.50x = 95,663,070.56
5. Step 5: Solve for x
   x = 95,663,070.56/7,402.50
6. Step 6: Final answer
   x = 12,923.08