Finding the Third Proportional to 13,788 and 32,502

Step by Step Solution

1. Step 1: Write the proportion equation
   13,788 : 32,502 = 32,502 : x
2. Step 2: Convert to fraction form
   13,788/32,502 = 32,502/x
3. Step 3: Cross multiply
   13,788x = 32,502 × 32,502
4. Step 4: Simplify right side
   13,788x = 1,056,380,004
5. Step 5: Solve for x
   x = 1,056,380,004/13,788
6. Step 6: Final answer
   x = 76,615.90