Finding the Third Proportional to 33,140 and 71,188

Step by Step Solution

1. Step 1: Write the proportion equation
   33,140 : 71,188 = 71,188 : x
2. Step 2: Convert to fraction form
   33,140/71,188 = 71,188/x
3. Step 3: Cross multiply
   33,140x = 71,188 × 71,188
4. Step 4: Simplify right side
   33,140x = 5,067,731,344
5. Step 5: Solve for x
   x = 5,067,731,344/33,140
6. Step 6: Final answer
   x = 152,918.87