Finding the Third Proportional to 17,886 and 38,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,886 : 38,146.50 = 38,146.50 : x
2. Step 2: Convert to fraction form
   17,886/38,146.50 = 38,146.50/x
3. Step 3: Cross multiply
   17,886x = 38,146.50 × 38,146.50
4. Step 4: Simplify right side
   17,886x = 1,455,155,462.25
5. Step 5: Solve for x
   x = 1,455,155,462.25/17,886
6. Step 6: Final answer
   x = 81,357.23