Finding the Third Proportional to 17,771.63 and 38,314.13

Step by Step Solution

1. Step 1: Write the proportion equation
   17,771.63 : 38,314.13 = 38,314.13 : x
2. Step 2: Convert to fraction form
   17,771.63/38,314.13 = 38,314.13/x
3. Step 3: Cross multiply
   17,771.63x = 38,314.13 × 38,314.13
4. Step 4: Simplify right side
   17,771.63x = 1,467,972,174.52
5. Step 5: Solve for x
   x = 1,467,972,174.52/17,771.63
6. Step 6: Final answer
   x = 82,602.02