Finding the Third Proportional to 3,802.50 and 5,117.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.50 : 5,117.63 = 5,117.63 : x
2. Step 2: Convert to fraction form
   3,802.50/5,117.63 = 5,117.63/x
3. Step 3: Cross multiply
   3,802.50x = 5,117.63 × 5,117.63
4. Step 4: Simplify right side
   3,802.50x = 26,190,085.64
5. Step 5: Solve for x
   x = 26,190,085.64/3,802.50
6. Step 6: Final answer
   x = 6,887.60