Finding the Third Proportional to 10,152.56 and 15,780.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.56 : 15,780.94 = 15,780.94 : x
2. Step 2: Convert to fraction form
   10,152.56/15,780.94 = 15,780.94/x
3. Step 3: Cross multiply
   10,152.56x = 15,780.94 × 15,780.94
4. Step 4: Simplify right side
   10,152.56x = 249,037,988.38
5. Step 5: Solve for x
   x = 249,037,988.38/10,152.56
6. Step 6: Final answer
   x = 24,529.57