Finding the Third Proportional to 37,724.63 and 78,548.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,724.63 : 78,548.06 = 78,548.06 : x
2. Step 2: Convert to fraction form
   37,724.63/78,548.06 = 78,548.06/x
3. Step 3: Cross multiply
   37,724.63x = 78,548.06 × 78,548.06
4. Step 4: Simplify right side
   37,724.63x = 6,169,798,122.50
5. Step 5: Solve for x
   x = 6,169,798,122.50/37,724.63
6. Step 6: Final answer
   x = 163,548.30