Finding the Third Proportional to 30,834 and 72,090

Step by Step Solution

1. Step 1: Write the proportion equation
   30,834 : 72,090 = 72,090 : x
2. Step 2: Convert to fraction form
   30,834/72,090 = 72,090/x
3. Step 3: Cross multiply
   30,834x = 72,090 × 72,090
4. Step 4: Simplify right side
   30,834x = 5,196,968,100
5. Step 5: Solve for x
   x = 5,196,968,100/30,834
6. Step 6: Final answer
   x = 168,546.67