Finding the Third Proportional to 33,130 and 72,209

Step by Step Solution

1. Step 1: Write the proportion equation
   33,130 : 72,209 = 72,209 : x
2. Step 2: Convert to fraction form
   33,130/72,209 = 72,209/x
3. Step 3: Cross multiply
   33,130x = 72,209 × 72,209
4. Step 4: Simplify right side
   33,130x = 5,214,139,681
5. Step 5: Solve for x
   x = 5,214,139,681/33,130
6. Step 6: Final answer
   x = 157,384.23