Finding the Third Proportional to 42,076 and 65,140

Step by Step Solution

1. Step 1: Write the proportion equation
   42,076 : 65,140 = 65,140 : x
2. Step 2: Convert to fraction form
   42,076/65,140 = 65,140/x
3. Step 3: Cross multiply
   42,076x = 65,140 × 65,140
4. Step 4: Simplify right side
   42,076x = 4,243,219,600
5. Step 5: Solve for x
   x = 4,243,219,600/42,076
6. Step 6: Final answer
   x = 100,846.55