Finding the Third Proportional to 35,730 and 56,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,730 : 56,527.50 = 56,527.50 : x
2. Step 2: Convert to fraction form
   35,730/56,527.50 = 56,527.50/x
3. Step 3: Cross multiply
   35,730x = 56,527.50 × 56,527.50
4. Step 4: Simplify right side
   35,730x = 3,195,358,256.25
5. Step 5: Solve for x
   x = 3,195,358,256.25/35,730
6. Step 6: Final answer
   x = 89,430.68