Finding the Third Proportional to 37,876.50 and 58,646.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,876.50 : 58,646.25 = 58,646.25 : x
2. Step 2: Convert to fraction form
   37,876.50/58,646.25 = 58,646.25/x
3. Step 3: Cross multiply
   37,876.50x = 58,646.25 × 58,646.25
4. Step 4: Simplify right side
   37,876.50x = 3,439,382,639.06
5. Step 5: Solve for x
   x = 3,439,382,639.06/37,876.50
6. Step 6: Final answer
   x = 90,805.19