Finding the Third Proportional to 18,624 and 42,117

Step by Step Solution

1. Step 1: Write the proportion equation
   18,624 : 42,117 = 42,117 : x
2. Step 2: Convert to fraction form
   18,624/42,117 = 42,117/x
3. Step 3: Cross multiply
   18,624x = 42,117 × 42,117
4. Step 4: Simplify right side
   18,624x = 1,773,841,689
5. Step 5: Solve for x
   x = 1,773,841,689/18,624
6. Step 6: Final answer
   x = 95,244.94