Finding the Third Proportional to 23,154 and 47,898

Step by Step Solution

1. Step 1: Write the proportion equation
   23,154 : 47,898 = 47,898 : x
2. Step 2: Convert to fraction form
   23,154/47,898 = 47,898/x
3. Step 3: Cross multiply
   23,154x = 47,898 × 47,898
4. Step 4: Simplify right side
   23,154x = 2,294,218,404
5. Step 5: Solve for x
   x = 2,294,218,404/23,154
6. Step 6: Final answer
   x = 99,085.19