Finding the Third Proportional to 72,572 and 109,953

Step by Step Solution

1. Step 1: Write the proportion equation
   72,572 : 109,953 = 109,953 : x
2. Step 2: Convert to fraction form
   72,572/109,953 = 109,953/x
3. Step 3: Cross multiply
   72,572x = 109,953 × 109,953
4. Step 4: Simplify right side
   72,572x = 12,089,662,209
5. Step 5: Solve for x
   x = 12,089,662,209/72,572
6. Step 6: Final answer
   x = 166,588.52