Finding the Third Proportional to 1,972 and 4,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,972 : 4,562.50 = 4,562.50 : x
2. Step 2: Convert to fraction form
   1,972/4,562.50 = 4,562.50/x
3. Step 3: Cross multiply
   1,972x = 4,562.50 × 4,562.50
4. Step 4: Simplify right side
   1,972x = 20,816,406.25
5. Step 5: Solve for x
   x = 20,816,406.25/1,972
6. Step 6: Final answer
   x = 10,555.99