Finding the Third Proportional to 10,106 and 23,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 23,597.50 = 23,597.50 : x
2. Step 2: Convert to fraction form
   10,106/23,597.50 = 23,597.50/x
3. Step 3: Cross multiply
   10,106x = 23,597.50 × 23,597.50
4. Step 4: Simplify right side
   10,106x = 556,842,006.25
5. Step 5: Solve for x
   x = 556,842,006.25/10,106
6. Step 6: Final answer
   x = 55,100.14