Finding the Third Proportional to 10,140 and 13,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140 : 13,642.50 = 13,642.50 : x
2. Step 2: Convert to fraction form
   10,140/13,642.50 = 13,642.50/x
3. Step 3: Cross multiply
   10,140x = 13,642.50 × 13,642.50
4. Step 4: Simplify right side
   10,140x = 186,117,806.25
5. Step 5: Solve for x
   x = 186,117,806.25/10,140
6. Step 6: Final answer
   x = 18,354.81