Finding the Third Proportional to 35,645.50 and 78,095

Step by Step Solution

1. Step 1: Write the proportion equation
   35,645.50 : 78,095 = 78,095 : x
2. Step 2: Convert to fraction form
   35,645.50/78,095 = 78,095/x
3. Step 3: Cross multiply
   35,645.50x = 78,095 × 78,095
4. Step 4: Simplify right side
   35,645.50x = 6,098,829,025
5. Step 5: Solve for x
   x = 6,098,829,025/35,645.50
6. Step 6: Final answer
   x = 171,096.75