Finding the Third Proportional to 10,564.88 and 15,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.88 : 15,889.50 = 15,889.50 : x
2. Step 2: Convert to fraction form
   10,564.88/15,889.50 = 15,889.50/x
3. Step 3: Cross multiply
   10,564.88x = 15,889.50 × 15,889.50
4. Step 4: Simplify right side
   10,564.88x = 252,476,210.25
5. Step 5: Solve for x
   x = 252,476,210.25/10,564.88
6. Step 6: Final answer
   x = 23,897.70