Finding the Third Proportional to 503.50 and 972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503.50 : 972.50 = 972.50 : x
2. Step 2: Convert to fraction form
   503.50/972.50 = 972.50/x
3. Step 3: Cross multiply
   503.50x = 972.50 × 972.50
4. Step 4: Simplify right side
   503.50x = 945,756.25
5. Step 5: Solve for x
   x = 945,756.25/503.50
6. Step 6: Final answer
   x = 1,878.36