Finding the Third Proportional to 35,538.75 and 78,706.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538.75 : 78,706.69 = 78,706.69 : x
2. Step 2: Convert to fraction form
   35,538.75/78,706.69 = 78,706.69/x
3. Step 3: Cross multiply
   35,538.75x = 78,706.69 × 78,706.69
4. Step 4: Simplify right side
   35,538.75x = 6,194,742,657.22
5. Step 5: Solve for x
   x = 6,194,742,657.22/35,538.75
6. Step 6: Final answer
   x = 174,309.53