Finding the Third Proportional to 10,457.50 and 16,303.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.50 : 16,303.75 = 16,303.75 : x
2. Step 2: Convert to fraction form
   10,457.50/16,303.75 = 16,303.75/x
3. Step 3: Cross multiply
   10,457.50x = 16,303.75 × 16,303.75
4. Step 4: Simplify right side
   10,457.50x = 265,812,264.06
5. Step 5: Solve for x
   x = 265,812,264.06/10,457.50
6. Step 6: Final answer
   x = 25,418.34