Finding the Third Proportional to 10,138.63 and 13,561.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.63 : 13,561.88 = 13,561.88 : x
2. Step 2: Convert to fraction form
   10,138.63/13,561.88 = 13,561.88/x
3. Step 3: Cross multiply
   10,138.63x = 13,561.88 × 13,561.88
4. Step 4: Simplify right side
   10,138.63x = 183,924,453.52
5. Step 5: Solve for x
   x = 183,924,453.52/10,138.63
6. Step 6: Final answer
   x = 18,140.97