Finding the Third Proportional to 7,580.25 and 16,648.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,580.25 : 16,648.88 = 16,648.88 : x
2. Step 2: Convert to fraction form
   7,580.25/16,648.88 = 16,648.88/x
3. Step 3: Cross multiply
   7,580.25x = 16,648.88 × 16,648.88
4. Step 4: Simplify right side
   7,580.25x = 277,185,038.77
5. Step 5: Solve for x
   x = 277,185,038.77/7,580.25
6. Step 6: Final answer
   x = 36,566.74