Finding the Third Proportional to 35,538.75 and 72,707.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538.75 : 72,707.63 = 72,707.63 : x
2. Step 2: Convert to fraction form
   35,538.75/72,707.63 = 72,707.63/x
3. Step 3: Cross multiply
   35,538.75x = 72,707.63 × 72,707.63
4. Step 4: Simplify right side
   35,538.75x = 5,286,398,733.14
5. Step 5: Solve for x
   x = 5,286,398,733.14/35,538.75
6. Step 6: Final answer
   x = 148,750.27