Finding the Third Proportional to 27,718.50 and 65,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,718.50 : 65,077.50 = 65,077.50 : x
2. Step 2: Convert to fraction form
   27,718.50/65,077.50 = 65,077.50/x
3. Step 3: Cross multiply
   27,718.50x = 65,077.50 × 65,077.50
4. Step 4: Simplify right side
   27,718.50x = 4,235,081,006.25
5. Step 5: Solve for x
   x = 4,235,081,006.25/27,718.50
6. Step 6: Final answer
   x = 152,788.97