Finding the Third Proportional to 37,875 and 58,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,875 : 58,726.50 = 58,726.50 : x
2. Step 2: Convert to fraction form
   37,875/58,726.50 = 58,726.50/x
3. Step 3: Cross multiply
   37,875x = 58,726.50 × 58,726.50
4. Step 4: Simplify right side
   37,875x = 3,448,801,802.25
5. Step 5: Solve for x
   x = 3,448,801,802.25/37,875
6. Step 6: Final answer
   x = 91,057.47