Finding the Third Proportional to 38,506.06 and 77,583.94

Step by Step Solution

1. Step 1: Write the proportion equation
   38,506.06 : 77,583.94 = 77,583.94 : x
2. Step 2: Convert to fraction form
   38,506.06/77,583.94 = 77,583.94/x
3. Step 3: Cross multiply
   38,506.06x = 77,583.94 × 77,583.94
4. Step 4: Simplify right side
   38,506.06x = 6,019,267,358.00
5. Step 5: Solve for x
   x = 6,019,267,358.00/38,506.06
6. Step 6: Final answer
   x = 156,319.99