Finding the Third Proportional to 17,830 and 38,516

Step by Step Solution

1. Step 1: Write the proportion equation
   17,830 : 38,516 = 38,516 : x
2. Step 2: Convert to fraction form
   17,830/38,516 = 38,516/x
3. Step 3: Cross multiply
   17,830x = 38,516 × 38,516
4. Step 4: Simplify right side
   17,830x = 1,483,482,256
5. Step 5: Solve for x
   x = 1,483,482,256/17,830
6. Step 6: Final answer
   x = 83,201.47