Finding the Third Proportional to 35,683.88 and 76,848.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,683.88 : 76,848.75 = 76,848.75 : x
2. Step 2: Convert to fraction form
   35,683.88/76,848.75 = 76,848.75/x
3. Step 3: Cross multiply
   35,683.88x = 76,848.75 × 76,848.75
4. Step 4: Simplify right side
   35,683.88x = 5,905,730,376.56
5. Step 5: Solve for x
   x = 5,905,730,376.56/35,683.88
6. Step 6: Final answer
   x = 165,501.37