Finding the Third Proportional to 35,680 and 55,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,680 : 55,562.50 = 55,562.50 : x
2. Step 2: Convert to fraction form
   35,680/55,562.50 = 55,562.50/x
3. Step 3: Cross multiply
   35,680x = 55,562.50 × 55,562.50
4. Step 4: Simplify right side
   35,680x = 3,087,191,406.25
5. Step 5: Solve for x
   x = 3,087,191,406.25/35,680
6. Step 6: Final answer
   x = 86,524.42