Finding the Third Proportional to 17,833.50 and 42,174

Step by Step Solution

1. Step 1: Write the proportion equation
   17,833.50 : 42,174 = 42,174 : x
2. Step 2: Convert to fraction form
   17,833.50/42,174 = 42,174/x
3. Step 3: Cross multiply
   17,833.50x = 42,174 × 42,174
4. Step 4: Simplify right side
   17,833.50x = 1,778,646,276
5. Step 5: Solve for x
   x = 1,778,646,276/17,833.50
6. Step 6: Final answer
   x = 99,736.24