Finding the Third Proportional to 37,578.50 and 59,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578.50 : 59,460.50 = 59,460.50 : x
2. Step 2: Convert to fraction form
   37,578.50/59,460.50 = 59,460.50/x
3. Step 3: Cross multiply
   37,578.50x = 59,460.50 × 59,460.50
4. Step 4: Simplify right side
   37,578.50x = 3,535,551,060.25
5. Step 5: Solve for x
   x = 3,535,551,060.25/37,578.50
6. Step 6: Final answer
   x = 94,084.41