Finding the Third Proportional to 30,092 and 64,210

Step by Step Solution

1. Step 1: Write the proportion equation
   30,092 : 64,210 = 64,210 : x
2. Step 2: Convert to fraction form
   30,092/64,210 = 64,210/x
3. Step 3: Cross multiply
   30,092x = 64,210 × 64,210
4. Step 4: Simplify right side
   30,092x = 4,122,924,100
5. Step 5: Solve for x
   x = 4,122,924,100/30,092
6. Step 6: Final answer
   x = 137,010.64