Finding the Third Proportional to 22,626 and 37,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,626 : 37,705.50 = 37,705.50 : x
2. Step 2: Convert to fraction form
   22,626/37,705.50 = 37,705.50/x
3. Step 3: Cross multiply
   22,626x = 37,705.50 × 37,705.50
4. Step 4: Simplify right side
   22,626x = 1,421,704,730.25
5. Step 5: Solve for x
   x = 1,421,704,730.25/22,626
6. Step 6: Final answer
   x = 62,835.00