Finding the Third Proportional to 52,200 and 74,412

Step by Step Solution

1. Step 1: Write the proportion equation
   52,200 : 74,412 = 74,412 : x
2. Step 2: Convert to fraction form
   52,200/74,412 = 74,412/x
3. Step 3: Cross multiply
   52,200x = 74,412 × 74,412
4. Step 4: Simplify right side
   52,200x = 5,537,145,744
5. Step 5: Solve for x
   x = 5,537,145,744/52,200
6. Step 6: Final answer
   x = 106,075.59