Finding the Third Proportional to 10,070 and 23,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,070 : 23,738.50 = 23,738.50 : x
2. Step 2: Convert to fraction form
   10,070/23,738.50 = 23,738.50/x
3. Step 3: Cross multiply
   10,070x = 23,738.50 × 23,738.50
4. Step 4: Simplify right side
   10,070x = 563,516,382.25
5. Step 5: Solve for x
   x = 563,516,382.25/10,070
6. Step 6: Final answer
   x = 55,959.92