Finding the Third Proportional to 42,028 and 91,688

Step by Step Solution

1. Step 1: Write the proportion equation
   42,028 : 91,688 = 91,688 : x
2. Step 2: Convert to fraction form
   42,028/91,688 = 91,688/x
3. Step 3: Cross multiply
   42,028x = 91,688 × 91,688
4. Step 4: Simplify right side
   42,028x = 8,406,689,344
5. Step 5: Solve for x
   x = 8,406,689,344/42,028
6. Step 6: Final answer
   x = 200,025.92