Finding the Third Proportional to 13,857 and 32,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857 : 32,530.50 = 32,530.50 : x
2. Step 2: Convert to fraction form
   13,857/32,530.50 = 32,530.50/x
3. Step 3: Cross multiply
   13,857x = 32,530.50 × 32,530.50
4. Step 4: Simplify right side
   13,857x = 1,058,233,430.25
5. Step 5: Solve for x
   x = 1,058,233,430.25/13,857
6. Step 6: Final answer
   x = 76,368.15