Finding the Third Proportional to 7,972.50 and 17,380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,972.50 : 17,380.25 = 17,380.25 : x
2. Step 2: Convert to fraction form
   7,972.50/17,380.25 = 17,380.25/x
3. Step 3: Cross multiply
   7,972.50x = 17,380.25 × 17,380.25
4. Step 4: Simplify right side
   7,972.50x = 302,073,090.06
5. Step 5: Solve for x
   x = 302,073,090.06/7,972.50
6. Step 6: Final answer
   x = 37,889.38