Finding the Third Proportional to 13,090 and 19,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,090 : 19,825.50 = 19,825.50 : x
2. Step 2: Convert to fraction form
   13,090/19,825.50 = 19,825.50/x
3. Step 3: Cross multiply
   13,090x = 19,825.50 × 19,825.50
4. Step 4: Simplify right side
   13,090x = 393,050,450.25
5. Step 5: Solve for x
   x = 393,050,450.25/13,090
6. Step 6: Final answer
   x = 30,026.77