Finding the Third Proportional to 36,810 and 78,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,810 : 78,007.50 = 78,007.50 : x
2. Step 2: Convert to fraction form
   36,810/78,007.50 = 78,007.50/x
3. Step 3: Cross multiply
   36,810x = 78,007.50 × 78,007.50
4. Step 4: Simplify right side
   36,810x = 6,085,170,056.25
5. Step 5: Solve for x
   x = 6,085,170,056.25/36,810
6. Step 6: Final answer
   x = 165,312.96