Finding the Third Proportional to 52,427 and 83,390

Step by Step Solution

1. Step 1: Write the proportion equation
   52,427 : 83,390 = 83,390 : x
2. Step 2: Convert to fraction form
   52,427/83,390 = 83,390/x
3. Step 3: Cross multiply
   52,427x = 83,390 × 83,390
4. Step 4: Simplify right side
   52,427x = 6,953,892,100
5. Step 5: Solve for x
   x = 6,953,892,100/52,427
6. Step 6: Final answer
   x = 132,639.52