Finding the Third Proportional to 37,338.75 and 78,140.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,338.75 : 78,140.25 = 78,140.25 : x
2. Step 2: Convert to fraction form
   37,338.75/78,140.25 = 78,140.25/x
3. Step 3: Cross multiply
   37,338.75x = 78,140.25 × 78,140.25
4. Step 4: Simplify right side
   37,338.75x = 6,105,898,670.06
5. Step 5: Solve for x
   x = 6,105,898,670.06/37,338.75
6. Step 6: Final answer
   x = 163,527.13