Finding the Third Proportional to 17,766 and 38,124

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 38,124 = 38,124 : x
2. Step 2: Convert to fraction form
   17,766/38,124 = 38,124/x
3. Step 3: Cross multiply
   17,766x = 38,124 × 38,124
4. Step 4: Simplify right side
   17,766x = 1,453,439,376
5. Step 5: Solve for x
   x = 1,453,439,376/17,766
6. Step 6: Final answer
   x = 81,810.16