Finding the Third Proportional to 37,830 and 59,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,830 : 59,215.50 = 59,215.50 : x
2. Step 2: Convert to fraction form
   37,830/59,215.50 = 59,215.50/x
3. Step 3: Cross multiply
   37,830x = 59,215.50 × 59,215.50
4. Step 4: Simplify right side
   37,830x = 3,506,475,440.25
5. Step 5: Solve for x
   x = 3,506,475,440.25/37,830
6. Step 6: Final answer
   x = 92,690.34