Finding the Third Proportional to 13,884 and 30,232.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,884 : 30,232.50 = 30,232.50 : x
2. Step 2: Convert to fraction form
   13,884/30,232.50 = 30,232.50/x
3. Step 3: Cross multiply
   13,884x = 30,232.50 × 30,232.50
4. Step 4: Simplify right side
   13,884x = 914,004,056.25
5. Step 5: Solve for x
   x = 914,004,056.25/13,884
6. Step 6: Final answer
   x = 65,831.46