Finding the Third Proportional to 10,902 and 23,113

Step by Step Solution

1. Step 1: Write the proportion equation
   10,902 : 23,113 = 23,113 : x
2. Step 2: Convert to fraction form
   10,902/23,113 = 23,113/x
3. Step 3: Cross multiply
   10,902x = 23,113 × 23,113
4. Step 4: Simplify right side
   10,902x = 534,210,769
5. Step 5: Solve for x
   x = 534,210,769/10,902
6. Step 6: Final answer
   x = 49,001.17