Finding the Third Proportional to 33,194 and 72,602

Step by Step Solution

1. Step 1: Write the proportion equation
   33,194 : 72,602 = 72,602 : x
2. Step 2: Convert to fraction form
   33,194/72,602 = 72,602/x
3. Step 3: Cross multiply
   33,194x = 72,602 × 72,602
4. Step 4: Simplify right side
   33,194x = 5,271,050,404
5. Step 5: Solve for x
   x = 5,271,050,404/33,194
6. Step 6: Final answer
   x = 158,795.28