Finding the Third Proportional to 48,506 and 72,570

Step by Step Solution

1. Step 1: Write the proportion equation
   48,506 : 72,570 = 72,570 : x
2. Step 2: Convert to fraction form
   48,506/72,570 = 72,570/x
3. Step 3: Cross multiply
   48,506x = 72,570 × 72,570
4. Step 4: Simplify right side
   48,506x = 5,266,404,900
5. Step 5: Solve for x
   x = 5,266,404,900/48,506
6. Step 6: Final answer
   x = 108,572.24