Finding the Third Proportional to 13,465 and 19,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,465 : 19,513.50 = 19,513.50 : x
2. Step 2: Convert to fraction form
   13,465/19,513.50 = 19,513.50/x
3. Step 3: Cross multiply
   13,465x = 19,513.50 × 19,513.50
4. Step 4: Simplify right side
   13,465x = 380,776,682.25
5. Step 5: Solve for x
   x = 380,776,682.25/13,465
6. Step 6: Final answer
   x = 28,279.00