Finding the Third Proportional to 7,836.25 and 17,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836.25 : 17,101.50 = 17,101.50 : x
2. Step 2: Convert to fraction form
   7,836.25/17,101.50 = 17,101.50/x
3. Step 3: Cross multiply
   7,836.25x = 17,101.50 × 17,101.50
4. Step 4: Simplify right side
   7,836.25x = 292,461,302.25
5. Step 5: Solve for x
   x = 292,461,302.25/7,836.25
6. Step 6: Final answer
   x = 37,321.59