Finding the Third Proportional to 17,784.56 and 38,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.56 : 38,758.50 = 38,758.50 : x
2. Step 2: Convert to fraction form
   17,784.56/38,758.50 = 38,758.50/x
3. Step 3: Cross multiply
   17,784.56x = 38,758.50 × 38,758.50
4. Step 4: Simplify right side
   17,784.56x = 1,502,221,322.25
5. Step 5: Solve for x
   x = 1,502,221,322.25/17,784.56
6. Step 6: Final answer
   x = 84,467.71