Finding the Third Proportional to 11,534.50 and 15,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,534.50 : 15,978.50 = 15,978.50 : x
2. Step 2: Convert to fraction form
   11,534.50/15,978.50 = 15,978.50/x
3. Step 3: Cross multiply
   11,534.50x = 15,978.50 × 15,978.50
4. Step 4: Simplify right side
   11,534.50x = 255,312,462.25
5. Step 5: Solve for x
   x = 255,312,462.25/11,534.50
6. Step 6: Final answer
   x = 22,134.68