Finding the Third Proportional to 11,793 and 27,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,793 : 27,799.50 = 27,799.50 : x
2. Step 2: Convert to fraction form
   11,793/27,799.50 = 27,799.50/x
3. Step 3: Cross multiply
   11,793x = 27,799.50 × 27,799.50
4. Step 4: Simplify right side
   11,793x = 772,812,200.25
5. Step 5: Solve for x
   x = 772,812,200.25/11,793
6. Step 6: Final answer
   x = 65,531.43