Finding the Third Proportional to 13,538.25 and 32,612.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.25 : 32,612.63 = 32,612.63 : x
2. Step 2: Convert to fraction form
   13,538.25/32,612.63 = 32,612.63/x
3. Step 3: Cross multiply
   13,538.25x = 32,612.63 × 32,612.63
4. Step 4: Simplify right side
   13,538.25x = 1,063,583,309.39
5. Step 5: Solve for x
   x = 1,063,583,309.39/13,538.25
6. Step 6: Final answer
   x = 78,561.36