Finding the Third Proportional to 35,113.50 and 75,785.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,113.50 : 75,785.63 = 75,785.63 : x
2. Step 2: Convert to fraction form
   35,113.50/75,785.63 = 75,785.63/x
3. Step 3: Cross multiply
   35,113.50x = 75,785.63 × 75,785.63
4. Step 4: Simplify right side
   35,113.50x = 5,743,460,956.64
5. Step 5: Solve for x
   x = 5,743,460,956.64/35,113.50
6. Step 6: Final answer
   x = 163,568.46