Finding the Third Proportional to 8,523 and 13,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,523 : 13,567.50 = 13,567.50 : x
2. Step 2: Convert to fraction form
   8,523/13,567.50 = 13,567.50/x
3. Step 3: Cross multiply
   8,523x = 13,567.50 × 13,567.50
4. Step 4: Simplify right side
   8,523x = 184,077,056.25
5. Step 5: Solve for x
   x = 184,077,056.25/8,523
6. Step 6: Final answer
   x = 21,597.68