Finding the Third Proportional to 23,091 and 37,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,091 : 37,186.50 = 37,186.50 : x
2. Step 2: Convert to fraction form
   23,091/37,186.50 = 37,186.50/x
3. Step 3: Cross multiply
   23,091x = 37,186.50 × 37,186.50
4. Step 4: Simplify right side
   23,091x = 1,382,835,782.25
5. Step 5: Solve for x
   x = 1,382,835,782.25/23,091
6. Step 6: Final answer
   x = 59,886.35