Finding the Third Proportional to 10,368 and 17,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,368 : 17,779.50 = 17,779.50 : x
2. Step 2: Convert to fraction form
   10,368/17,779.50 = 17,779.50/x
3. Step 3: Cross multiply
   10,368x = 17,779.50 × 17,779.50
4. Step 4: Simplify right side
   10,368x = 316,110,620.25
5. Step 5: Solve for x
   x = 316,110,620.25/10,368
6. Step 6: Final answer
   x = 30,489.06