Finding the Third Proportional to 37,626 and 78,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,626 : 78,365.50 = 78,365.50 : x
2. Step 2: Convert to fraction form
   37,626/78,365.50 = 78,365.50/x
3. Step 3: Cross multiply
   37,626x = 78,365.50 × 78,365.50
4. Step 4: Simplify right side
   37,626x = 6,141,151,590.25
5. Step 5: Solve for x
   x = 6,141,151,590.25/37,626
6. Step 6: Final answer
   x = 163,215.64