Finding the Third Proportional to 17,961 and 38,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,961 : 38,194.50 = 38,194.50 : x
2. Step 2: Convert to fraction form
   17,961/38,194.50 = 38,194.50/x
3. Step 3: Cross multiply
   17,961x = 38,194.50 × 38,194.50
4. Step 4: Simplify right side
   17,961x = 1,458,819,830.25
5. Step 5: Solve for x
   x = 1,458,819,830.25/17,961
6. Step 6: Final answer
   x = 81,221.53