Finding the Third Proportional to 27,689.75 and 65,007.88

Step by Step Solution

1. Step 1: Write the proportion equation
   27,689.75 : 65,007.88 = 65,007.88 : x
2. Step 2: Convert to fraction form
   27,689.75/65,007.88 = 65,007.88/x
3. Step 3: Cross multiply
   27,689.75x = 65,007.88 × 65,007.88
4. Step 4: Simplify right side
   27,689.75x = 4,226,023,812.02
5. Step 5: Solve for x
   x = 4,226,023,812.02/27,689.75
6. Step 6: Final answer
   x = 152,620.51