Finding the Third Proportional to 42,101 and 92,131

Step by Step Solution

1. Step 1: Write the proportion equation
   42,101 : 92,131 = 92,131 : x
2. Step 2: Convert to fraction form
   42,101/92,131 = 92,131/x
3. Step 3: Cross multiply
   42,101x = 92,131 × 92,131
4. Step 4: Simplify right side
   42,101x = 8,488,121,161
5. Step 5: Solve for x
   x = 8,488,121,161/42,101
6. Step 6: Final answer
   x = 201,613.29