Finding the Third Proportional to 10,946 and 23,594

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946 : 23,594 = 23,594 : x
2. Step 2: Convert to fraction form
   10,946/23,594 = 23,594/x
3. Step 3: Cross multiply
   10,946x = 23,594 × 23,594
4. Step 4: Simplify right side
   10,946x = 556,676,836
5. Step 5: Solve for x
   x = 556,676,836/10,946
6. Step 6: Final answer
   x = 50,856.64