Finding the Third Proportional to 42,430 and 64,181

Step by Step Solution

1. Step 1: Write the proportion equation
   42,430 : 64,181 = 64,181 : x
2. Step 2: Convert to fraction form
   42,430/64,181 = 64,181/x
3. Step 3: Cross multiply
   42,430x = 64,181 × 64,181
4. Step 4: Simplify right side
   42,430x = 4,119,200,761
5. Step 5: Solve for x
   x = 4,119,200,761/42,430
6. Step 6: Final answer
   x = 97,082.27