Finding the Third Proportional to 10,020 and 13,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,020 : 13,585.50 = 13,585.50 : x
2. Step 2: Convert to fraction form
   10,020/13,585.50 = 13,585.50/x
3. Step 3: Cross multiply
   10,020x = 13,585.50 × 13,585.50
4. Step 4: Simplify right side
   10,020x = 184,565,810.25
5. Step 5: Solve for x
   x = 184,565,810.25/10,020
6. Step 6: Final answer
   x = 18,419.74