Finding the Third Proportional to 33,642 and 47,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 47,170.50 = 47,170.50 : x
2. Step 2: Convert to fraction form
   33,642/47,170.50 = 47,170.50/x
3. Step 3: Cross multiply
   33,642x = 47,170.50 × 47,170.50
4. Step 4: Simplify right side
   33,642x = 2,225,056,070.25
5. Step 5: Solve for x
   x = 2,225,056,070.25/33,642
6. Step 6: Final answer
   x = 66,139.23