Finding the Third Proportional to 37,470 and 78,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,470 : 78,403.50 = 78,403.50 : x
2. Step 2: Convert to fraction form
   37,470/78,403.50 = 78,403.50/x
3. Step 3: Cross multiply
   37,470x = 78,403.50 × 78,403.50
4. Step 4: Simplify right side
   37,470x = 6,147,108,812.25
5. Step 5: Solve for x
   x = 6,147,108,812.25/37,470
6. Step 6: Final answer
   x = 164,054.14