Finding the Third Proportional to 10,188 and 24,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 24,658 = 24,658 : x
2. Step 2: Convert to fraction form
   10,188/24,658 = 24,658/x
3. Step 3: Cross multiply
   10,188x = 24,658 × 24,658
4. Step 4: Simplify right side
   10,188x = 608,016,964
5. Step 5: Solve for x
   x = 608,016,964/10,188
6. Step 6: Final answer
   x = 59,679.72