Finding the Third Proportional to 11,947.50 and 26,978.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,947.50 : 26,978.06 = 26,978.06 : x
2. Step 2: Convert to fraction form
   11,947.50/26,978.06 = 26,978.06/x
3. Step 3: Cross multiply
   11,947.50x = 26,978.06 × 26,978.06
4. Step 4: Simplify right side
   11,947.50x = 727,815,856.25
5. Step 5: Solve for x
   x = 727,815,856.25/11,947.50
6. Step 6: Final answer
   x = 60,917.84