Finding the Third Proportional to 37,193.50 and 77,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,193.50 : 77,395.50 = 77,395.50 : x
2. Step 2: Convert to fraction form
   37,193.50/77,395.50 = 77,395.50/x
3. Step 3: Cross multiply
   37,193.50x = 77,395.50 × 77,395.50
4. Step 4: Simplify right side
   37,193.50x = 5,990,063,420.25
5. Step 5: Solve for x
   x = 5,990,063,420.25/37,193.50
6. Step 6: Final answer
   x = 161,051.35