Finding the Third Proportional to 14,598 and 23,118

Step by Step Solution

1. Step 1: Write the proportion equation
   14,598 : 23,118 = 23,118 : x
2. Step 2: Convert to fraction form
   14,598/23,118 = 23,118/x
3. Step 3: Cross multiply
   14,598x = 23,118 × 23,118
4. Step 4: Simplify right side
   14,598x = 534,441,924
5. Step 5: Solve for x
   x = 534,441,924/14,598
6. Step 6: Final answer
   x = 36,610.63