Finding the Third Proportional to 42,076 and 92,051

Step by Step Solution

1. Step 1: Write the proportion equation
   42,076 : 92,051 = 92,051 : x
2. Step 2: Convert to fraction form
   42,076/92,051 = 92,051/x
3. Step 3: Cross multiply
   42,076x = 92,051 × 92,051
4. Step 4: Simplify right side
   42,076x = 8,473,386,601
5. Step 5: Solve for x
   x = 8,473,386,601/42,076
6. Step 6: Final answer
   x = 201,382.89