Finding the Third Proportional to 10,506 and 11,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 11,437.50 = 11,437.50 : x
2. Step 2: Convert to fraction form
   10,506/11,437.50 = 11,437.50/x
3. Step 3: Cross multiply
   10,506x = 11,437.50 × 11,437.50
4. Step 4: Simplify right side
   10,506x = 130,816,406.25
5. Step 5: Solve for x
   x = 130,816,406.25/10,506
6. Step 6: Final answer
   x = 12,451.59