Finding the Third Proportional to 37,300.50 and 77,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,300.50 : 77,746.50 = 77,746.50 : x
2. Step 2: Convert to fraction form
   37,300.50/77,746.50 = 77,746.50/x
3. Step 3: Cross multiply
   37,300.50x = 77,746.50 × 77,746.50
4. Step 4: Simplify right side
   37,300.50x = 6,044,518,262.25
5. Step 5: Solve for x
   x = 6,044,518,262.25/37,300.50
6. Step 6: Final answer
   x = 162,049.26