Finding the Third Proportional to 11,394 and 13,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,394 : 13,432.50 = 13,432.50 : x
2. Step 2: Convert to fraction form
   11,394/13,432.50 = 13,432.50/x
3. Step 3: Cross multiply
   11,394x = 13,432.50 × 13,432.50
4. Step 4: Simplify right side
   11,394x = 180,432,056.25
5. Step 5: Solve for x
   x = 180,432,056.25/11,394
6. Step 6: Final answer
   x = 15,835.71