Finding the Third Proportional to 10,526.63 and 16,259.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,526.63 : 16,259.06 = 16,259.06 : x
2. Step 2: Convert to fraction form
   10,526.63/16,259.06 = 16,259.06/x
3. Step 3: Cross multiply
   10,526.63x = 16,259.06 × 16,259.06
4. Step 4: Simplify right side
   10,526.63x = 264,357,113.38
5. Step 5: Solve for x
   x = 264,357,113.38/10,526.63
6. Step 6: Final answer
   x = 25,113.19