Finding the Third Proportional to 34,755.75 and 75,886.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34,755.75 : 75,886.88 = 75,886.88 : x
2. Step 2: Convert to fraction form
   34,755.75/75,886.88 = 75,886.88/x
3. Step 3: Cross multiply
   34,755.75x = 75,886.88 × 75,886.88
4. Step 4: Simplify right side
   34,755.75x = 5,758,817,797.27
5. Step 5: Solve for x
   x = 5,758,817,797.27/34,755.75
6. Step 6: Final answer
   x = 165,693.96