Finding the Third Proportional to 37,710 and 78,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,710 : 78,520.50 = 78,520.50 : x
2. Step 2: Convert to fraction form
   37,710/78,520.50 = 78,520.50/x
3. Step 3: Cross multiply
   37,710x = 78,520.50 × 78,520.50
4. Step 4: Simplify right side
   37,710x = 6,165,468,920.25
5. Step 5: Solve for x
   x = 6,165,468,920.25/37,710
6. Step 6: Final answer
   x = 163,496.92