Finding the Third Proportional to 37,199.25 and 78,032.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,199.25 : 78,032.25 = 78,032.25 : x
2. Step 2: Convert to fraction form
   37,199.25/78,032.25 = 78,032.25/x
3. Step 3: Cross multiply
   37,199.25x = 78,032.25 × 78,032.25
4. Step 4: Simplify right side
   37,199.25x = 6,089,032,040.06
5. Step 5: Solve for x
   x = 6,089,032,040.06/37,199.25
6. Step 6: Final answer
   x = 163,686.96