Finding the Third Proportional to 33,051 and 72,123

Step by Step Solution

1. Step 1: Write the proportion equation
   33,051 : 72,123 = 72,123 : x
2. Step 2: Convert to fraction form
   33,051/72,123 = 72,123/x
3. Step 3: Cross multiply
   33,051x = 72,123 × 72,123
4. Step 4: Simplify right side
   33,051x = 5,201,727,129
5. Step 5: Solve for x
   x = 5,201,727,129/33,051
6. Step 6: Final answer
   x = 157,384.86