Finding the Third Proportional to 65,038.50 and 100,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,038.50 : 100,680.75 = 100,680.75 : x
2. Step 2: Convert to fraction form
   65,038.50/100,680.75 = 100,680.75/x
3. Step 3: Cross multiply
   65,038.50x = 100,680.75 × 100,680.75
4. Step 4: Simplify right side
   65,038.50x = 10,136,613,420.56
5. Step 5: Solve for x
   x = 10,136,613,420.56/65,038.50
6. Step 6: Final answer
   x = 155,855.58