Finding the Third Proportional to 13,875 and 30,213

Step by Step Solution

1. Step 1: Write the proportion equation
   13,875 : 30,213 = 30,213 : x
2. Step 2: Convert to fraction form
   13,875/30,213 = 30,213/x
3. Step 3: Cross multiply
   13,875x = 30,213 × 30,213
4. Step 4: Simplify right side
   13,875x = 912,825,369
5. Step 5: Solve for x
   x = 912,825,369/13,875
6. Step 6: Final answer
   x = 65,789.22