Finding the Third Proportional to 34,506 and 72,486

Step by Step Solution

1. Step 1: Write the proportion equation
   34,506 : 72,486 = 72,486 : x
2. Step 2: Convert to fraction form
   34,506/72,486 = 72,486/x
3. Step 3: Cross multiply
   34,506x = 72,486 × 72,486
4. Step 4: Simplify right side
   34,506x = 5,254,220,196
5. Step 5: Solve for x
   x = 5,254,220,196/34,506
6. Step 6: Final answer
   x = 152,269.76