Finding the Third Proportional to 37,518 and 52,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,518 : 52,762.50 = 52,762.50 : x
2. Step 2: Convert to fraction form
   37,518/52,762.50 = 52,762.50/x
3. Step 3: Cross multiply
   37,518x = 52,762.50 × 52,762.50
4. Step 4: Simplify right side
   37,518x = 2,783,881,406.25
5. Step 5: Solve for x
   x = 2,783,881,406.25/37,518
6. Step 6: Final answer
   x = 74,201.22