Finding the Third Proportional to 10,677.75 and 23,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677.75 : 23,434.50 = 23,434.50 : x
2. Step 2: Convert to fraction form
   10,677.75/23,434.50 = 23,434.50/x
3. Step 3: Cross multiply
   10,677.75x = 23,434.50 × 23,434.50
4. Step 4: Simplify right side
   10,677.75x = 549,175,790.25
5. Step 5: Solve for x
   x = 549,175,790.25/10,677.75
6. Step 6: Final answer
   x = 51,431.79