Finding the Third Proportional to 42,127 and 92,025

Step by Step Solution

1. Step 1: Write the proportion equation
   42,127 : 92,025 = 92,025 : x
2. Step 2: Convert to fraction form
   42,127/92,025 = 92,025/x
3. Step 3: Cross multiply
   42,127x = 92,025 × 92,025
4. Step 4: Simplify right side
   42,127x = 8,468,600,625
5. Step 5: Solve for x
   x = 8,468,600,625/42,127
6. Step 6: Final answer
   x = 201,025.49