Finding the Third Proportional to 37,677 and 58,247.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,677 : 58,247.50 = 58,247.50 : x
2. Step 2: Convert to fraction form
   37,677/58,247.50 = 58,247.50/x
3. Step 3: Cross multiply
   37,677x = 58,247.50 × 58,247.50
4. Step 4: Simplify right side
   37,677x = 3,392,771,256.25
5. Step 5: Solve for x
   x = 3,392,771,256.25/37,677
6. Step 6: Final answer
   x = 90,048.87