Finding the Third Proportional to 27,688.50 and 65,004.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,688.50 : 65,004.75 = 65,004.75 : x
2. Step 2: Convert to fraction form
   27,688.50/65,004.75 = 65,004.75/x
3. Step 3: Cross multiply
   27,688.50x = 65,004.75 × 65,004.75
4. Step 4: Simplify right side
   27,688.50x = 4,225,617,522.56
5. Step 5: Solve for x
   x = 4,225,617,522.56/27,688.50
6. Step 6: Final answer
   x = 152,612.73