Finding the Third Proportional to 10,100 and 23,591

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 23,591 = 23,591 : x
2. Step 2: Convert to fraction form
   10,100/23,591 = 23,591/x
3. Step 3: Cross multiply
   10,100x = 23,591 × 23,591
4. Step 4: Simplify right side
   10,100x = 556,535,281
5. Step 5: Solve for x
   x = 556,535,281/10,100
6. Step 6: Final answer
   x = 55,102.50