Finding the Third Proportional to 36,500.63 and 78,460.31

Step by Step Solution

1. Step 1: Write the proportion equation
   36,500.63 : 78,460.31 = 78,460.31 : x
2. Step 2: Convert to fraction form
   36,500.63/78,460.31 = 78,460.31/x
3. Step 3: Cross multiply
   36,500.63x = 78,460.31 × 78,460.31
4. Step 4: Simplify right side
   36,500.63x = 6,156,020,637.60
5. Step 5: Solve for x
   x = 6,156,020,637.60/36,500.63
6. Step 6: Final answer
   x = 168,655.21