Finding the Third Proportional to 36,945 and 78,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,945 : 78,802.50 = 78,802.50 : x
2. Step 2: Convert to fraction form
   36,945/78,802.50 = 78,802.50/x
3. Step 3: Cross multiply
   36,945x = 78,802.50 × 78,802.50
4. Step 4: Simplify right side
   36,945x = 6,209,834,006.25
5. Step 5: Solve for x
   x = 6,209,834,006.25/36,945
6. Step 6: Final answer
   x = 168,083.20