Finding the Third Proportional to 33,090 and 72,129

Step by Step Solution

1. Step 1: Write the proportion equation
   33,090 : 72,129 = 72,129 : x
2. Step 2: Convert to fraction form
   33,090/72,129 = 72,129/x
3. Step 3: Cross multiply
   33,090x = 72,129 × 72,129
4. Step 4: Simplify right side
   33,090x = 5,202,592,641
5. Step 5: Solve for x
   x = 5,202,592,641/33,090
6. Step 6: Final answer
   x = 157,225.53