Finding the Third Proportional to 52,407 and 74,082

Step by Step Solution

1. Step 1: Write the proportion equation
   52,407 : 74,082 = 74,082 : x
2. Step 2: Convert to fraction form
   52,407/74,082 = 74,082/x
3. Step 3: Cross multiply
   52,407x = 74,082 × 74,082
4. Step 4: Simplify right side
   52,407x = 5,488,142,724
5. Step 5: Solve for x
   x = 5,488,142,724/52,407
6. Step 6: Final answer
   x = 104,721.56