Finding the Third Proportional to 37,527 and 57,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,527 : 57,913.50 = 57,913.50 : x
2. Step 2: Convert to fraction form
   37,527/57,913.50 = 57,913.50/x
3. Step 3: Cross multiply
   37,527x = 57,913.50 × 57,913.50
4. Step 4: Simplify right side
   37,527x = 3,353,973,482.25
5. Step 5: Solve for x
   x = 3,353,973,482.25/37,527
6. Step 6: Final answer
   x = 89,374.94