Finding the Third Proportional to 15,762 and 25,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,762 : 25,801.50 = 25,801.50 : x
2. Step 2: Convert to fraction form
   15,762/25,801.50 = 25,801.50/x
3. Step 3: Cross multiply
   15,762x = 25,801.50 × 25,801.50
4. Step 4: Simplify right side
   15,762x = 665,717,402.25
5. Step 5: Solve for x
   x = 665,717,402.25/15,762
6. Step 6: Final answer
   x = 42,235.59