Finding the Third Proportional to 7,381.13 and 17,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,381.13 : 17,779.50 = 17,779.50 : x
2. Step 2: Convert to fraction form
   7,381.13/17,779.50 = 17,779.50/x
3. Step 3: Cross multiply
   7,381.13x = 17,779.50 × 17,779.50
4. Step 4: Simplify right side
   7,381.13x = 316,110,620.25
5. Step 5: Solve for x
   x = 316,110,620.25/7,381.13
6. Step 6: Final answer
   x = 42,826.89