Finding the Third Proportional to 10,702.13 and 17,799.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.13 : 17,799.75 = 17,799.75 : x
2. Step 2: Convert to fraction form
   10,702.13/17,799.75 = 17,799.75/x
3. Step 3: Cross multiply
   10,702.13x = 17,799.75 × 17,799.75
4. Step 4: Simplify right side
   10,702.13x = 316,831,100.06
5. Step 5: Solve for x
   x = 316,831,100.06/10,702.13
6. Step 6: Final answer
   x = 29,604.50