Finding the Third Proportional to 17,779.50 and 37,197

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.50 : 37,197 = 37,197 : x
2. Step 2: Convert to fraction form
   17,779.50/37,197 = 37,197/x
3. Step 3: Cross multiply
   17,779.50x = 37,197 × 37,197
4. Step 4: Simplify right side
   17,779.50x = 1,383,616,809
5. Step 5: Solve for x
   x = 1,383,616,809/17,779.50
6. Step 6: Final answer
   x = 77,820.91