Finding the Third Proportional to 17,806.50 and 38,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,806.50 : 38,467.50 = 38,467.50 : x
2. Step 2: Convert to fraction form
   17,806.50/38,467.50 = 38,467.50/x
3. Step 3: Cross multiply
   17,806.50x = 38,467.50 × 38,467.50
4. Step 4: Simplify right side
   17,806.50x = 1,479,748,556.25
5. Step 5: Solve for x
   x = 1,479,748,556.25/17,806.50
6. Step 6: Final answer
   x = 83,101.60