Finding the Third Proportional to 17,779.50 and 36,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.50 : 36,562.50 = 36,562.50 : x
2. Step 2: Convert to fraction form
   17,779.50/36,562.50 = 36,562.50/x
3. Step 3: Cross multiply
   17,779.50x = 36,562.50 × 36,562.50
4. Step 4: Simplify right side
   17,779.50x = 1,336,816,406.25
5. Step 5: Solve for x
   x = 1,336,816,406.25/17,779.50
6. Step 6: Final answer
   x = 75,188.64