Finding the Third Proportional to 17,500 and 37,780

Step by Step Solution

1. Step 1: Write the proportion equation
   17,500 : 37,780 = 37,780 : x
2. Step 2: Convert to fraction form
   17,500/37,780 = 37,780/x
3. Step 3: Cross multiply
   17,500x = 37,780 × 37,780
4. Step 4: Simplify right side
   17,500x = 1,427,328,400
5. Step 5: Solve for x
   x = 1,427,328,400/17,500
6. Step 6: Final answer
   x = 81,561.62