Finding the Third Proportional to 17,642.50 and 25,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642.50 : 25,077.50 = 25,077.50 : x
2. Step 2: Convert to fraction form
   17,642.50/25,077.50 = 25,077.50/x
3. Step 3: Cross multiply
   17,642.50x = 25,077.50 × 25,077.50
4. Step 4: Simplify right side
   17,642.50x = 628,881,006.25
5. Step 5: Solve for x
   x = 628,881,006.25/17,642.50
6. Step 6: Final answer
   x = 35,645.80