Finding the Third Proportional to 10,302 and 14,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302 : 14,587.50 = 14,587.50 : x
2. Step 2: Convert to fraction form
   10,302/14,587.50 = 14,587.50/x
3. Step 3: Cross multiply
   10,302x = 14,587.50 × 14,587.50
4. Step 4: Simplify right side
   10,302x = 212,795,156.25
5. Step 5: Solve for x
   x = 212,795,156.25/10,302
6. Step 6: Final answer
   x = 20,655.71