Finding the Third Proportional to 10,127 and 13,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127 : 13,632.50 = 13,632.50 : x
2. Step 2: Convert to fraction form
   10,127/13,632.50 = 13,632.50/x
3. Step 3: Cross multiply
   10,127x = 13,632.50 × 13,632.50
4. Step 4: Simplify right side
   10,127x = 185,845,056.25
5. Step 5: Solve for x
   x = 185,845,056.25/10,127
6. Step 6: Final answer
   x = 18,351.44