Finding the Third Proportional to 13,509 and 21,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,509 : 21,577.50 = 21,577.50 : x
2. Step 2: Convert to fraction form
   13,509/21,577.50 = 21,577.50/x
3. Step 3: Cross multiply
   13,509x = 21,577.50 × 21,577.50
4. Step 4: Simplify right side
   13,509x = 465,588,506.25
5. Step 5: Solve for x
   x = 465,588,506.25/13,509
6. Step 6: Final answer
   x = 34,465.06