Finding the Third Proportional to 52,172 and 74,338

Step by Step Solution

1. Step 1: Write the proportion equation
   52,172 : 74,338 = 74,338 : x
2. Step 2: Convert to fraction form
   52,172/74,338 = 74,338/x
3. Step 3: Cross multiply
   52,172x = 74,338 × 74,338
4. Step 4: Simplify right side
   52,172x = 5,526,138,244
5. Step 5: Solve for x
   x = 5,526,138,244/52,172
6. Step 6: Final answer
   x = 105,921.53