Finding the Third Proportional to 17,791.50 and 38,505.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,791.50 : 38,505.75 = 38,505.75 : x
2. Step 2: Convert to fraction form
   17,791.50/38,505.75 = 38,505.75/x
3. Step 3: Cross multiply
   17,791.50x = 38,505.75 × 38,505.75
4. Step 4: Simplify right side
   17,791.50x = 1,482,692,783.06
5. Step 5: Solve for x
   x = 1,482,692,783.06/17,791.50
6. Step 6: Final answer
   x = 83,337.14