Finding the Third Proportional to 36,538.50 and 78,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,538.50 : 78,516.50 = 78,516.50 : x
2. Step 2: Convert to fraction form
   36,538.50/78,516.50 = 78,516.50/x
3. Step 3: Cross multiply
   36,538.50x = 78,516.50 × 78,516.50
4. Step 4: Simplify right side
   36,538.50x = 6,164,840,772.25
5. Step 5: Solve for x
   x = 6,164,840,772.25/36,538.50
6. Step 6: Final answer
   x = 168,721.78