Finding the Third Proportional to 6,264 and 13,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,264 : 13,567.50 = 13,567.50 : x
2. Step 2: Convert to fraction form
   6,264/13,567.50 = 13,567.50/x
3. Step 3: Cross multiply
   6,264x = 13,567.50 × 13,567.50
4. Step 4: Simplify right side
   6,264x = 184,077,056.25
5. Step 5: Solve for x
   x = 184,077,056.25/6,264
6. Step 6: Final answer
   x = 29,386.50