Finding the Third Proportional to 17,877.38 and 38,129.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,877.38 : 38,129.63 = 38,129.63 : x
2. Step 2: Convert to fraction form
   17,877.38/38,129.63 = 38,129.63/x
3. Step 3: Cross multiply
   17,877.38x = 38,129.63 × 38,129.63
4. Step 4: Simplify right side
   17,877.38x = 1,453,868,302.64
5. Step 5: Solve for x
   x = 1,453,868,302.64/17,877.38
6. Step 6: Final answer
   x = 81,324.48