Finding the Third Proportional to 27,823.50 and 65,615.06

Step by Step Solution

1. Step 1: Write the proportion equation
   27,823.50 : 65,615.06 = 65,615.06 : x
2. Step 2: Convert to fraction form
   27,823.50/65,615.06 = 65,615.06/x
3. Step 3: Cross multiply
   27,823.50x = 65,615.06 × 65,615.06
4. Step 4: Simplify right side
   27,823.50x = 4,305,336,426.88
5. Step 5: Solve for x
   x = 4,305,336,426.88/27,823.50
6. Step 6: Final answer
   x = 154,737.41