Finding the Third Proportional to 3,602.50 and 7,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,602.50 : 7,820.25 = 7,820.25 : x
2. Step 2: Convert to fraction form
   3,602.50/7,820.25 = 7,820.25/x
3. Step 3: Cross multiply
   3,602.50x = 7,820.25 × 7,820.25
4. Step 4: Simplify right side
   3,602.50x = 61,156,310.06
5. Step 5: Solve for x
   x = 61,156,310.06/3,602.50
6. Step 6: Final answer
   x = 16,976.07