Finding the Third Proportional to 32,820.19 and 35,690.63

Step by Step Solution

1. Step 1: Write the proportion equation
   32,820.19 : 35,690.63 = 35,690.63 : x
2. Step 2: Convert to fraction form
   32,820.19/35,690.63 = 35,690.63/x
3. Step 3: Cross multiply
   32,820.19x = 35,690.63 × 35,690.63
4. Step 4: Simplify right side
   32,820.19x = 1,273,820,712.89
5. Step 5: Solve for x
   x = 1,273,820,712.89/32,820.19
6. Step 6: Final answer
   x = 38,812.11