Finding the Third Proportional to 10,791 and 25,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,791 : 25,978.50 = 25,978.50 : x
2. Step 2: Convert to fraction form
   10,791/25,978.50 = 25,978.50/x
3. Step 3: Cross multiply
   10,791x = 25,978.50 × 25,978.50
4. Step 4: Simplify right side
   10,791x = 674,882,462.25
5. Step 5: Solve for x
   x = 674,882,462.25/10,791
6. Step 6: Final answer
   x = 62,541.23