Finding the Third Proportional to 25,749 and 38,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,749 : 38,902.50 = 38,902.50 : x
2. Step 2: Convert to fraction form
   25,749/38,902.50 = 38,902.50/x
3. Step 3: Cross multiply
   25,749x = 38,902.50 × 38,902.50
4. Step 4: Simplify right side
   25,749x = 1,513,404,506.25
5. Step 5: Solve for x
   x = 1,513,404,506.25/25,749
6. Step 6: Final answer
   x = 58,775.27