Finding the Third Proportional to 36,010 and 78,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,010 : 78,477.50 = 78,477.50 : x
2. Step 2: Convert to fraction form
   36,010/78,477.50 = 78,477.50/x
3. Step 3: Cross multiply
   36,010x = 78,477.50 × 78,477.50
4. Step 4: Simplify right side
   36,010x = 6,158,718,006.25
5. Step 5: Solve for x
   x = 6,158,718,006.25/36,010
6. Step 6: Final answer
   x = 171,027.99