Finding the Third Proportional to 23,152 and 47,942

Step by Step Solution

1. Step 1: Write the proportion equation
   23,152 : 47,942 = 47,942 : x
2. Step 2: Convert to fraction form
   23,152/47,942 = 47,942/x
3. Step 3: Cross multiply
   23,152x = 47,942 × 47,942
4. Step 4: Simplify right side
   23,152x = 2,298,435,364
5. Step 5: Solve for x
   x = 2,298,435,364/23,152
6. Step 6: Final answer
   x = 99,275.89