Finding the Third Proportional to 17,912 and 38,584

Step by Step Solution

1. Step 1: Write the proportion equation
   17,912 : 38,584 = 38,584 : x
2. Step 2: Convert to fraction form
   17,912/38,584 = 38,584/x
3. Step 3: Cross multiply
   17,912x = 38,584 × 38,584
4. Step 4: Simplify right side
   17,912x = 1,488,725,056
5. Step 5: Solve for x
   x = 1,488,725,056/17,912
6. Step 6: Final answer
   x = 83,113.28