Finding the Third Proportional to 37,624.50 and 78,347.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624.50 : 78,347.25 = 78,347.25 : x
2. Step 2: Convert to fraction form
   37,624.50/78,347.25 = 78,347.25/x
3. Step 3: Cross multiply
   37,624.50x = 78,347.25 × 78,347.25
4. Step 4: Simplify right side
   37,624.50x = 6,138,291,582.56
5. Step 5: Solve for x
   x = 6,138,291,582.56/37,624.50
6. Step 6: Final answer
   x = 163,146.13