Finding the Third Proportional to 17,677 and 38,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677 : 38,469.50 = 38,469.50 : x
2. Step 2: Convert to fraction form
   17,677/38,469.50 = 38,469.50/x
3. Step 3: Cross multiply
   17,677x = 38,469.50 × 38,469.50
4. Step 4: Simplify right side
   17,677x = 1,479,902,430.25
5. Step 5: Solve for x
   x = 1,479,902,430.25/17,677
6. Step 6: Final answer
   x = 83,719.09